Final answer:
To solve the equation -3(12 - m) = -1(m - 8), distribute the -3 and -1 to the terms in parentheses, simplify both sides, combine like terms, and solve for m. The solution is m = 11.
Step-by-step explanation:
To solve the equation -3(12 - m) = -1(m - 8), we can start by distributing the -3 and -1 to the terms in parentheses:
-3 * 12 + 3 * m = -1 * m + 1 * 8
Next, simplify both sides of the equation:
-36 + 3m = -m + 8
Combine like terms on each side:
3m + m = 8 + 36
4m = 44
Divide both sides of the equation by 4:
m = 11