7=2-5m; m

my answer key says -1 but I don't know why it would be that. Can you explain?

7 = 2 - 5m

7 - 2 = -5m
5 = -5m
-1 = m

When you multiply or divide by a positive and a negative, the answer is negative.

where does the -5 come in?

-5m is in your original problem

oh i thought it was 5 times what minus 2 equals 7. not -5

It's 2 minus 5 times some number.

thank you very much for the help

You're very welcome. :-)

2+2=4

To find the value of m in the equation 7 = 2 - 5m, we need to isolate the variable m on one side of the equation. Here's how it can be done:

Step 1: Start with the given equation: 7 = 2 - 5m.

Step 2: In order to isolate the term containing m, we need to get rid of the constant term on the right side (2). We can do this by subtracting 2 from both sides of the equation:

7 - 2 = 2 - 5m - 2.

Simplifying this expression, we get:

5 = -5m.

Step 3: Now, to isolate m, we need to get rid of the coefficient -5 in front of m. We can do this by dividing both sides of the equation by -5:

5 / -5 = -5m / -5.

Simplifying the expression, we have:

-1 = m.

Therefore, the value of m in the equation 7 = 2 - 5m is -1.