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Simplifying -82 = 2(1 + 7m) -82 = (1 * 2 + 7m * 2) -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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