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Simplifying -1(m + 12) = 3(-1m + 2) Reorder the terms: -1(12 + m) = 3(-1m + 2) (12 * -1 + m * -1) = 3(-1m + 2) (-12 + -1m) = 3(-1m + 2) Reorder the terms: -12 + -1m = 3(2 + -1m) -12 + -1m = (2 * 3 + -1m * 3) -12 + -1m = (6 + -3m) Solving -12 + -1m = 6 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. -12 + -1m + 3m = 6 + -3m + 3m Combine like terms: -1m + 3m = 2m -12 + 2m = 6 + -3m + 3m Combine like terms: -3m + 3m = 0 -12 + 2m = 6 + 0 -12 + 2m = 6 Add '12' to each side of the equation. -12 + 12 + 2m = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 2m = 6 + 12 2m = 6 + 12 Combine like terms: 6 + 12 = 18 2m = 18 Divide each side by '2'. m = 9 Simplifying m = 9
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