Question

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

1/4(8m+12)−7=−2

Answer 1

there is no add

Answer 2

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 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!