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Simplifying -5(3m + 6) = -3(4m + -12) Reorder the terms: -5(6 + 3m) = -3(4m + -12) (6 * -5 + 3m * -5) = -3(4m + -12) (-30 + -15m) = -3(4m + -12) Reorder the terms: -30 + -15m = -3(-12 + 4m) -30 + -15m = (-12 * -3 + 4m * -3) -30 + -15m = (36 + -12m) Solving -30 + -15m = 36 + -12m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '12m' to each side of the equation. -30 + -15m + 12m = 36 + -12m + 12m Combine like terms: -15m + 12m = -3m -30 + -3m = 36 + -12m + 12m Combine like terms: -12m + 12m = 0 -30 + -3m = 36 + 0 -30 + -3m = 36 Add '30' to each side of the equation. -30 + 30 + -3m = 36 + 30 Combine like terms: -30 + 30 = 0 0 + -3m = 36 + 30 -3m = 36 + 30 Combine like terms: 36 + 30 = 66 -3m = 66 Divide each side by '-3'. m = -22 Simplifying m = -22
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