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Simplifying -102 = -4(8 + -3m) + 2 -102 = (8 * -4 + -3m * -4) + 2 -102 = (-32 + 12m) + 2 Reorder the terms: -102 = -32 + 2 + 12m Combine like terms: -32 + 2 = -30 -102 = -30 + 12m Solving -102 = -30 + 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. -102 + -12m = -30 + 12m + -12m Combine like terms: 12m + -12m = 0 -102 + -12m = -30 + 0 -102 + -12m = -30 Add '102' to each side of the equation. -102 + 102 + -12m = -30 + 102 Combine like terms: -102 + 102 = 0 0 + -12m = -30 + 102 -12m = -30 + 102 Combine like terms: -30 + 102 = 72 -12m = 72 Divide each side by '-12'. m = -6 Simplifying m = -6
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