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

Question

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

Answer 1

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

Answer 2

frac-?

Answer 3

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!

Answer 4

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

Answer 5

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:

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

Answer 6

be more specific the heck u mean frac

Answer 7

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!

Answer 8

bruh thats not specific u fricken suck

Answer 9

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.

Answer 10

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

Answer 11

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!