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Simplifying -82 = -2(1 + -5m) -82 = (1 * -2 + -5m * -2) -82 = (-2 + 10m) Solving -82 = -2 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. -82 + -10m = -2 + 10m + -10m Combine like terms: 10m + -10m = 0 -82 + -10m = -2 + 0 -82 + -10m = -2 Add '82' to each side of the equation. -82 + 82 + -10m = -2 + 82 Combine like terms: -82 + 82 = 0 0 + -10m = -2 + 82 -10m = -2 + 82 Combine like terms: -2 + 82 = 80 -10m = 80 Divide each side by '-10'. m = -8 Simplifying m = -8
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