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Simplifying -5(3m + 6) = -39(4m + -2) Reorder the terms: -5(6 + 3m) = -39(4m + -2) (6 * -5 + 3m * -5) = -39(4m + -2) (-30 + -15m) = -39(4m + -2) Reorder the terms: -30 + -15m = -39(-2 + 4m) -30 + -15m = (-2 * -39 + 4m * -39) -30 + -15m = (78 + -156m) Solving -30 + -15m = 78 + -156m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '156m' to each side of the equation. -30 + -15m + 156m = 78 + -156m + 156m Combine like terms: -15m + 156m = 141m -30 + 141m = 78 + -156m + 156m Combine like terms: -156m + 156m = 0 -30 + 141m = 78 + 0 -30 + 141m = 78 Add '30' to each side of the equation. -30 + 30 + 141m = 78 + 30 Combine like terms: -30 + 30 = 0 0 + 141m = 78 + 30 141m = 78 + 30 Combine like terms: 78 + 30 = 108 141m = 108 Divide each side by '141'. m = 0.7659574468 Simplifying m = 0.7659574468
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