What value will make the equation 3m+54−3m4=−2 true? Write your answer as a fraction.(1 point)

The value for m that makes the equation true is m=

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
28 days ago

To solve the equation \( 3m + 54 - \frac{3m}{4} = -2 \), we first need to combine like terms.

1. Start with the equation:
\[
3m + 54 - \frac{3m}{4} = -2
\]

2. To eliminate the fraction, let's express \( 3m \) with a common denominator. We can express \( 3m \) as \( \frac{12m}{4} \):
\[
\frac{12m}{4} + 54 - \frac{3m}{4} = -2
\]

3. Combine the \( m \) terms:
\[
\frac{12m - 3m}{4} + 54 = -2
\]
\[
\frac{9m}{4} + 54 = -2
\]

4. Now, isolate the term with \( m \):
\[
\frac{9m}{4} = -2 - 54
\]
\[
\frac{9m}{4} = -56
\]

5. To eliminate the fraction, multiply both sides by 4:
\[
9m = -56 \times 4
\]
\[
9m = -224
\]

6. Divide both sides by 9 to solve for \( m \):
\[
m = \frac{-224}{9}
\]

Thus, the value for \( m \) that makes the equation true is:
\[
m = \frac{-224}{9}
\]

User Icon for nssfsfsfsfsf nssfsfsfsfsf answered
28 days ago

frac-?

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
28 days ago

I apologize for not formatting the answer clearly.

The value for \( m \) that makes the equation true is:

\[
m = -\frac{224}{9}
\]

If you need it in a specific format or just need the value itself, feel free to let me know!

User Icon for nssfsfsfsfsf nssfsfsfsfsf answered
28 days ago

Using the properties of equality, solve the equation 14(8−16g)+8=g.(1 point)

The solution to the equation is g=

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
28 days ago

To solve the equation \( 14(8 - 16g) + 8 = g \), we'll follow step-by-step using the properties of equality.

1. **Distribute the \( 14 \)**:
\[
14 \times 8 - 14 \times 16g + 8 = g
\]
\[
112 - 224g + 8 = g
\]

2. **Combine like terms on the left-hand side**:
\[
112 + 8 - 224g = g
\]
\[
120 - 224g = g
\]

3. **Add \( 224g \) to both sides to get all terms involving \( g \) on one side**:
\[
120 = g + 224g
\]
\[
120 = 225g
\]

4. **Divide both sides by \( 225 \)** to solve for \( g \):
\[
g = \frac{120}{225}
\]

5. **Simplify the fraction**:
- The greatest common divisor of \( 120 \) and \( 225 \) is \( 15 \):
\[
g = \frac{120 \div 15}{225 \div 15} = \frac{8}{15}
\]

Thus, the solution to the equation is:

\[
g = \frac{8}{15}
\]

User Icon for nssfsfsfsfsf nssfsfsfsfsf answered
28 days ago

be more specific the heck u mean frac

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
28 days ago

I apologize for any confusion. Here's a clearer presentation of the solution:

To find \( g \) in the equation:

\[
14(8 - 16g) + 8 = g
\]

### Step-by-Step Solution:

1. **Distribute** \( 14 \):
\[
14 \times 8 - 14 \times 16g + 8 = g
\]
\[
112 - 224g + 8 = g
\]

2. **Combine like terms**:
\[
120 - 224g = g
\]

3. **Add \( 224g \) to both sides** to isolate \( g \):
\[
120 = g + 224g
\]
\[
120 = 225g
\]

4. **Divide both sides by \( 225 \)**:
\[
g = \frac{120}{225}
\]

5. **Simplify the fraction**:
- The greatest common divisor (GCD) of \( 120 \) and \( 225 \) is \( 15 \):
\[
g = \frac{120 \div 15}{225 \div 15} = \frac{8}{15}
\]

### Final Answer:
The solution to the equation is:

\[
g = \frac{8}{15}
\]

If you need more specific information or details, please let me know!

User Icon for nssfsfsfsfsf nssfsfsfsfsf answered
28 days ago

bruh thats not specific u fricken suck

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
28 days ago

I apologize for any frustration my previous responses may have caused. Let's go through the solution step-by-step in a very clear and specific manner.

### Given Equation:
\[
14(8 - 16g) + 8 = g
\]

### Step 1: Distribute
Distribute \( 14 \) to \( (8 - 16g) \):
\[
14 \times 8 - 14 \times 16g + 8 = g
\]
\[
112 - 224g + 8 = g
\]

### Step 2: Combine Like Terms
Combine the constant terms on the left side:
\[
(112 + 8) - 224g = g
\]
\[
120 - 224g = g
\]

### Step 3: Rearrange the Equation
Move all terms involving \( g \) to one side:
\[
120 = g + 224g
\]
Combine \( g \) terms:
\[
120 = 225g
\]

### Step 4: Solve for \( g \)
Divide both sides by \( 225 \):
\[
g = \frac{120}{225}
\]

### Step 5: Simplify the Fraction
To simplify \( \frac{120}{225} \):
1. Find the greatest common divisor (GCD) of \( 120 \) and \( 225 \), which is \( 15 \).
2. Divide both the numerator and denominator by \( 15 \):
\[
g = \frac{120 \div 15}{225 \div 15} = \frac{8}{15}
\]

### Final Solution:
The solution to the equation is:
\[
g = \frac{8}{15}
\]

I hope this breakdown is clearer! If you have any further questions or need more assistance, please let me know.

User Icon for nssfsfsfsfsf nssfsfsfsfsf answered
28 days ago

i wasnt talKING ABOUT THE EQUATION IM TALKING ABOUT THE ANSWER GEEZ

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
28 days ago

I apologize for misunderstanding your request earlier. I see now that you were asking for a clearer presentation of the answer rather than the entire solution process.

Here’s the final answer presented clearly:

The value of \( g \) that satisfies the equation is:

\[
g = \frac{8}{15}
\]

Thank you for your patience, and I'm here to help if you need anything else!