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Simplifying -27 = -3(4m + -1) + 6(-8m + 5) Reorder the terms: -27 = -3(-1 + 4m) + 6(-8m + 5) -27 = (-1 * -3 + 4m * -3) + 6(-8m + 5) -27 = (3 + -12m) + 6(-8m + 5) Reorder the terms: -27 = 3 + -12m + 6(5 + -8m) -27 = 3 + -12m + (5 * 6 + -8m * 6) -27 = 3 + -12m + (30 + -48m) Reorder the terms: -27 = 3 + 30 + -12m + -48m Combine like terms: 3 + 30 = 33 -27 = 33 + -12m + -48m Combine like terms: -12m + -48m = -60m -27 = 33 + -60m Solving -27 = 33 + -60m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '60m' to each side of the equation. -27 + 60m = 33 + -60m + 60m Combine like terms: -60m + 60m = 0 -27 + 60m = 33 + 0 -27 + 60m = 33 Add '27' to each side of the equation. -27 + 27 + 60m = 33 + 27 Combine like terms: -27 + 27 = 0 0 + 60m = 33 + 27 60m = 33 + 27 Combine like terms: 33 + 27 = 60 60m = 60 Divide each side by '60'. m = 1 Simplifying m = 1
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