QuestionCell B21 What is the solution to this equation? $$-4(2 m-7)=3(52-4 m)$$

Studdy Solution
Check the solution by substituting $m = 32$ back into the original equation:
Original equation: $$-4(2m - 7) = 3(52 - 4m)$$
Substitute $m = 32$: $$-4(2(32) - 7) = 3(52 - 4(32))$$
Simplify both sides: Left side: $$-4(64 - 7) = -4(57) = -228$$
Right side: $$3(52 - 128) = 3(-76) = -228$$
Both sides are equal, confirming the solution is correct.
The solution is: $$\boxed{32}$$