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Simplifying -82 = 2(1 + -6m) -82 = (1 * 2 + -6m * 2) -82 = (2 + -12m) Solving -82 = 2 + -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. -82 + 12m = 2 + -12m + 12m Combine like terms: -12m + 12m = 0 -82 + 12m = 2 + 0 -82 + 12m = 2 Add '82' to each side of the equation. -82 + 82 + 12m = 2 + 82 Combine like terms: -82 + 82 = 0 0 + 12m = 2 + 82 12m = 2 + 82 Combine like terms: 2 + 82 = 84 12m = 84 Divide each side by '12'. m = 7 Simplifying m = 7
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