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Simplifying 82 = 2 + 5(1 + 3m) 82 = 2 + (1 * 5 + 3m * 5) 82 = 2 + (5 + 15m) Combine like terms: 2 + 5 = 7 82 = 7 + 15m Solving 82 = 7 + 15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-15m' to each side of the equation. 82 + -15m = 7 + 15m + -15m Combine like terms: 15m + -15m = 0 82 + -15m = 7 + 0 82 + -15m = 7 Add '-82' to each side of the equation. 82 + -82 + -15m = 7 + -82 Combine like terms: 82 + -82 = 0 0 + -15m = 7 + -82 -15m = 7 + -82 Combine like terms: 7 + -82 = -75 -15m = -75 Divide each side by '-15'. m = 5 Simplifying m = 5
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