Final answer:
To find the value of m that makes the equation true, solve the equation by simplifying and isolating m.
Step-by-step explanation:
To find the value of m that makes the equation true, we need to solve for m by simplifying the equation.
10m = 10 - 5(m - 7)
Distribute -5 to (m - 7) to get:
10m = 10 - 5m + 35
Combine like terms:
10m + 5m = 45
15m = 45
Divide both sides by 15 to solve for m:
m = 3