Correctly select the order of the steps to solve this equation.

Question

1/4(8m+12)−7=−2

(1 point)
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Step 1:
Step 2:
Step 3:
Step 4:

:: Distribute 1/4 to each term inside the parentheses.
Subtract 7 from both sides of the equation.
:: Add 4 to both sides of the equation.
:: Subtract 4 from both sides of the equation.
:: Divide by 1/4 on both sides of the equation.
:: Divide by 2 on both sides of the equation.
:: Combine like terms on the left side of the equation.
Subtract 7 from 12 on the left side of the equation.

Answer 1

To solve the equation \( \frac{1}{4}(8m + 12) - 7 = -2 \), the steps should be ordered as follows:

Step 1: Subtract 7 from both sides of the equation.
Step 2: Distribute \( \frac{1}{4} \) to each term inside the parentheses.
Step 3: Combine like terms on the left side of the equation.
Step 4: Add 4 to both sides of the equation (or divide by 2 if you rearrange).

So the correct order is:

• Step 1: Subtract 7 from both sides of the equation.
• Step 2: Distribute \( \frac{1}{4} \) to each term inside the parentheses.
• Step 3: Combine like terms on the left side of the equation.
• Step 4: Add 4 to both sides of the equation.

This follows the logical order of operations needed to isolate \( m \) in the equation.

Answer 2

Solve for m.

1/4(8m+12)−7=−2

(1 point)
Responses

m=−7/8
m is equal to negative 7 eighths

m =−3
m =−3

m=11
m is equal to 11

m=1

Answer 3

Let's solve the equation step by step:

The original equation is

\[ \frac{1}{4}(8m + 12) - 7 = -2. \]

Step 1: Add 7 to both sides

\[ \frac{1}{4}(8m + 12) = -2 + 7 \] \[ \frac{1}{4}(8m + 12) = 5. \]

Step 2: Multiply both sides by 4 to eliminate the fraction

\[ 8m + 12 = 5 \times 4 \] \[ 8m + 12 = 20. \]

Step 3: Subtract 12 from both sides

\[ 8m = 20 - 12 \] \[ 8m = 8. \]

Step 4: Divide by 8

\[ m = 1. \]

The solution is \( m = 1 \).

Thus, the correct response is:

m = 1
m is equal to 1