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Simplifying 2(5 + 7m) = 5(1 + 3m) (5 * 2 + 7m * 2) = 5(1 + 3m) (10 + 14m) = 5(1 + 3m) 10 + 14m = (1 * 5 + 3m * 5) 10 + 14m = (5 + 15m) Solving 10 + 14m = 5 + 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. 10 + 14m + -15m = 5 + 15m + -15m Combine like terms: 14m + -15m = -1m 10 + -1m = 5 + 15m + -15m Combine like terms: 15m + -15m = 0 10 + -1m = 5 + 0 10 + -1m = 5 Add '-10' to each side of the equation. 10 + -10 + -1m = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -1m = 5 + -10 -1m = 5 + -10 Combine like terms: 5 + -10 = -5 -1m = -5 Divide each side by '-1'. m = 5 Simplifying m = 5
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