Question

Solve for m. 3m 72=−2m 52 drag and drop the answer into the box. put responses in the correct input to answer the question. select a response, navigate to the desired input and insert the response. responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. responses can also be moved by dragging with a mouse.

Answer 1

To solve the equation 3m + 72 = -2m + 52, combine like terms and simplify step by step to isolate the variable 'm'. The solution is m = -4.

Step-by-step explanation:

To solve the equation 3m + 72 = -2m + 52, we need to isolate the variable 'm' on one side of the equation. We can do this by combining like terms and simplifying the equation step by step.

1. Add 2m to both sides of the equation: 3m + 2m + 72 = -2m + 2m + 52
2. Simplify: 5m + 72 = 52
3. Subtract 72 from both sides of the equation: 5m + 72 - 72 = 52 - 72
4. Simplify: 5m = -20
5. Divide both sides of the equation by 5 to solve for m: (5m)/5 = -20/5
6. Simplify: m = -4

So, the solution for m is -4.