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Simplifying m + -12 + 1 + -13m = 3(-9 + -5m) + -6(-5 + -1m) Reorder the terms: -12 + 1 + m + -13m = 3(-9 + -5m) + -6(-5 + -1m) Combine like terms: -12 + 1 = -11 -11 + m + -13m = 3(-9 + -5m) + -6(-5 + -1m) Combine like terms: m + -13m = -12m -11 + -12m = 3(-9 + -5m) + -6(-5 + -1m) -11 + -12m = (-9 * 3 + -5m * 3) + -6(-5 + -1m) -11 + -12m = (-27 + -15m) + -6(-5 + -1m) -11 + -12m = -27 + -15m + (-5 * -6 + -1m * -6) -11 + -12m = -27 + -15m + (30 + 6m) Reorder the terms: -11 + -12m = -27 + 30 + -15m + 6m Combine like terms: -27 + 30 = 3 -11 + -12m = 3 + -15m + 6m Combine like terms: -15m + 6m = -9m -11 + -12m = 3 + -9m Solving -11 + -12m = 3 + -9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '9m' to each side of the equation. -11 + -12m + 9m = 3 + -9m + 9m Combine like terms: -12m + 9m = -3m -11 + -3m = 3 + -9m + 9m Combine like terms: -9m + 9m = 0 -11 + -3m = 3 + 0 -11 + -3m = 3 Add '11' to each side of the equation. -11 + 11 + -3m = 3 + 11 Combine like terms: -11 + 11 = 0 0 + -3m = 3 + 11 -3m = 3 + 11 Combine like terms: 3 + 11 = 14 -3m = 14 Divide each side by '-3'. m = -4.666666667 Simplifying m = -4.666666667
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