-13=5(1+4m)-2m

First you need to simplify the equation by getting rid of parentheses.

-13 = 5 + 20m - 2m

To solve the equation -13=5(1+4m)-2m, you will need to simplify the expression on the right side of the equation and then isolate the variable, m, on one side.

Let's break it down step by step:

1. Distribute the 5 to both terms inside the parentheses:
-13 = 5 + 20m - 2m

2. Combine like terms on the right side:
-13 = 5 + 18m

3. Move the constant term (5) to the left side by subtracting it from both sides of the equation:
-13 - 5 = 18m

-18 = 18m

4. Divide both sides of the equation by 18 to solve for m:
-18/18 = m

-1 = m

So, the solution to the equation is m = -1.