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Simplifying -82 = -6(2m + 1) + 8 Reorder the terms: -82 = -6(1 + 2m) + 8 -82 = (1 * -6 + 2m * -6) + 8 -82 = (-6 + -12m) + 8 Reorder the terms: -82 = -6 + 8 + -12m Combine like terms: -6 + 8 = 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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