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Simplifying 7(8 + 2m) + 4m = 3(7 + 5m) (8 * 7 + 2m * 7) + 4m = 3(7 + 5m) (56 + 14m) + 4m = 3(7 + 5m) Combine like terms: 14m + 4m = 18m 56 + 18m = 3(7 + 5m) 56 + 18m = (7 * 3 + 5m * 3) 56 + 18m = (21 + 15m) Solving 56 + 18m = 21 + 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. 56 + 18m + -15m = 21 + 15m + -15m Combine like terms: 18m + -15m = 3m 56 + 3m = 21 + 15m + -15m Combine like terms: 15m + -15m = 0 56 + 3m = 21 + 0 56 + 3m = 21 Add '-56' to each side of the equation. 56 + -56 + 3m = 21 + -56 Combine like terms: 56 + -56 = 0 0 + 3m = 21 + -56 3m = 21 + -56 Combine like terms: 21 + -56 = -35 3m = -35 Divide each side by '3'. m = -11.66666667 Simplifying m = -11.66666667
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