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Simplifying -102 = 2(6m + -6) + 6 Reorder the terms: -102 = 2(-6 + 6m) + 6 -102 = (-6 * 2 + 6m * 2) + 6 -102 = (-12 + 12m) + 6 Reorder the terms: -102 = -12 + 6 + 12m Combine like terms: -12 + 6 = -6 -102 = -6 + 12m Solving -102 = -6 + 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 = -6 + 12m + -12m Combine like terms: 12m + -12m = 0 -102 + -12m = -6 + 0 -102 + -12m = -6 Add '102' to each side of the equation. -102 + 102 + -12m = -6 + 102 Combine like terms: -102 + 102 = 0 0 + -12m = -6 + 102 -12m = -6 + 102 Combine like terms: -6 + 102 = 96 -12m = 96 Divide each side by '-12'. m = -8 Simplifying m = -8
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