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Simplifying -102 = -2(5 + 6m) + -8 -102 = (5 * -2 + 6m * -2) + -8 -102 = (-10 + -12m) + -8 Reorder the terms: -102 = -10 + -8 + -12m Combine like terms: -10 + -8 = -18 -102 = -18 + -12m Solving -102 = -18 + -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 = -18 + -12m + 12m Combine like terms: -12m + 12m = 0 -102 + 12m = -18 + 0 -102 + 12m = -18 Add '102' to each side of the equation. -102 + 102 + 12m = -18 + 102 Combine like terms: -102 + 102 = 0 0 + 12m = -18 + 102 12m = -18 + 102 Combine like terms: -18 + 102 = 84 12m = 84 Divide each side by '12'. m = 7 Simplifying m = 7
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