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Simplifying -82 = -8m + 2(1 + -3m) -82 = -8m + (1 * 2 + -3m * 2) -82 = -8m + (2 + -6m) Reorder the terms: -82 = 2 + -8m + -6m Combine like terms: -8m + -6m = -14m -82 = 2 + -14m Solving -82 = 2 + -14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14m' to each side of the equation. -82 + 14m = 2 + -14m + 14m Combine like terms: -14m + 14m = 0 -82 + 14m = 2 + 0 -82 + 14m = 2 Add '82' to each side of the equation. -82 + 82 + 14m = 2 + 82 Combine like terms: -82 + 82 = 0 0 + 14m = 2 + 82 14m = 2 + 82 Combine like terms: 2 + 82 = 84 14m = 84 Divide each side by '14'. m = 6 Simplifying m = 6
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