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Simplifying -12(1 + 6m) + -4 = -12(5m + 8) + 8m (1 * -12 + 6m * -12) + -4 = -12(5m + 8) + 8m (-12 + -72m) + -4 = -12(5m + 8) + 8m Reorder the terms: -12 + -4 + -72m = -12(5m + 8) + 8m Combine like terms: -12 + -4 = -16 -16 + -72m = -12(5m + 8) + 8m Reorder the terms: -16 + -72m = -12(8 + 5m) + 8m -16 + -72m = (8 * -12 + 5m * -12) + 8m -16 + -72m = (-96 + -60m) + 8m Combine like terms: -60m + 8m = -52m -16 + -72m = -96 + -52m Solving -16 + -72m = -96 + -52m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '52m' to each side of the equation. -16 + -72m + 52m = -96 + -52m + 52m Combine like terms: -72m + 52m = -20m -16 + -20m = -96 + -52m + 52m Combine like terms: -52m + 52m = 0 -16 + -20m = -96 + 0 -16 + -20m = -96 Add '16' to each side of the equation. -16 + 16 + -20m = -96 + 16 Combine like terms: -16 + 16 = 0 0 + -20m = -96 + 16 -20m = -96 + 16 Combine like terms: -96 + 16 = -80 -20m = -80 Divide each side by '-20'. m = 4 Simplifying m = 4
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