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Simplifying 82 = 5(3 + -3m) + -8 82 = (3 * 5 + -3m * 5) + -8 82 = (15 + -15m) + -8 Reorder the terms: 82 = 15 + -8 + -15m Combine like terms: 15 + -8 = 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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