Solve the following equation.

−7m=42−7m=42

(1 point)
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Step 1:
Solution
Add 7 to each side of the equation.
Divide both sides of the equation with -7.
Multiply both sides of the equation with -7.
m = -294
m = -6
m = 6
m = 49

3 answers

To solve the equation \(-7m = 42\), follow these steps:

  1. Step 1: Add 7 to each side of the equation. (This step is not relevant here since we need to isolate \(m\), and we directly manipulate the equation as is.)

  2. Step 2: Divide both sides of the equation by -7. \[ m = \frac{42}{-7} \]

  3. Calculate the right side: \[ m = -6 \]

Thus, the solution to the equation is: m = -6

So, the correct response is m = -6.

In solving the equation \(-7m = 42\), the first step should involve isolating \(m\) on one side of the equation. Here’s how you can describe the first step clearly:

Step 1: Divide both sides of the equation by -7.

So, the equation becomes: \[ \frac{-7m}{-7} = \frac{42}{-7} \]

This simplifies to: \[ m = -6 \]

Therefore, Step 1 is to divide both sides by -7.