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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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