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Simplifying -15m + -30 = -3(4m + -2) Reorder the terms: -30 + -15m = -3(4m + -2) Reorder the terms: -30 + -15m = -3(-2 + 4m) -30 + -15m = (-2 * -3 + 4m * -3) -30 + -15m = (6 + -12m) Solving -30 + -15m = 6 + -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 = 6 + -12m + 12m Combine like terms: -15m + 12m = -3m -30 + -3m = 6 + -12m + 12m Combine like terms: -12m + 12m = 0 -30 + -3m = 6 + 0 -30 + -3m = 6 Add '30' to each side of the equation. -30 + 30 + -3m = 6 + 30 Combine like terms: -30 + 30 = 0 0 + -3m = 6 + 30 -3m = 6 + 30 Combine like terms: 6 + 30 = 36 -3m = 36 Divide each side by '-3'. m = -12 Simplifying m = -12
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