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

Question

1/4(8m+12)−7=−2

Answer 1

To solve the equation \( \frac{1}{4}(8m + 12) - 7 = -2 \), we can follow these steps in order:

1. Add 7 to both sides to eliminate the -7 on the left: \[ \frac{1}{4}(8m + 12) = -2 + 7 \] This simplifies to: \[ \frac{1}{4}(8m + 12) = 5 \]

2. Multiply both sides by 4 to eliminate the fraction: \[ 8m + 12 = 20 \]

3. Subtract 12 from both sides to isolate the term with \( m \): \[ 8m = 20 - 12 \] This simplifies to: \[ 8m = 8 \]

4. Divide both sides by 8 to solve for \( m \): \[ m = 1 \]

So the correct order of steps is:

1. Add 7 to both sides.
2. Multiply both sides by 4.
3. Subtract 12 from both sides.
4. Divide both sides by 8.

Thus, the solution is \( m = 1 \).

Answer 2

there is no add

Answer 3

Let’s re-evaluate the problem step-by-step correctly without omission:

The equation we need to solve is: \[ \frac{1}{4}(8m + 12) - 7 = -2 \]

Step 1: Add 7 to both sides

To isolate the term with \( m \), add 7 to both sides: \[ \frac{1}{4}(8m + 12) - 7 + 7 = -2 + 7 \] This simplifies to: \[ \frac{1}{4}(8m + 12) = 5 \]

Step 2: Multiply both sides by 4

To eliminate the fraction, multiply both sides by 4: \[ 4 \cdot \frac{1}{4}(8m + 12) = 4 \cdot 5 \] This simplifies to: \[ 8m + 12 = 20 \]

Step 3: Subtract 12 from both sides

Now, subtract 12 from both sides to isolate the term with \( m \): \[ 8m + 12 - 12 = 20 - 12 \] This simplifies to: \[ 8m = 8 \]

Step 4: Divide both sides by 8

Finally, divide both sides by 8 to solve for \( m \): \[ m = \frac{8}{8} \] This simplifies to: \[ m = 1 \]

Summary of Steps

1. Add 7 to both sides.
2. Multiply both sides by 4.
3. Subtract 12 from both sides.
4. Divide both sides by 8.

Thus, the final solution is \( m = 1 \). Thank you for your patience, and I apologize for any confusion in the previous message!