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Simplifying 57 = 7(1 + 5m) + 5(-2 + -4m) 57 = (1 * 7 + 5m * 7) + 5(-2 + -4m) 57 = (7 + 35m) + 5(-2 + -4m) 57 = 7 + 35m + (-2 * 5 + -4m * 5) 57 = 7 + 35m + (-10 + -20m) Reorder the terms: 57 = 7 + -10 + 35m + -20m Combine like terms: 7 + -10 = -3 57 = -3 + 35m + -20m Combine like terms: 35m + -20m = 15m 57 = -3 + 15m Solving 57 = -3 + 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. 57 + -15m = -3 + 15m + -15m Combine like terms: 15m + -15m = 0 57 + -15m = -3 + 0 57 + -15m = -3 Add '-57' to each side of the equation. 57 + -57 + -15m = -3 + -57 Combine like terms: 57 + -57 = 0 0 + -15m = -3 + -57 -15m = -3 + -57 Combine like terms: -3 + -57 = -60 -15m = -60 Divide each side by '-15'. m = 4 Simplifying m = 4
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