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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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