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Simplifying 2(5m + 8) = 5(3m + 7) + 1 Reorder the terms: 2(8 + 5m) = 5(3m + 7) + 1 (8 * 2 + 5m * 2) = 5(3m + 7) + 1 (16 + 10m) = 5(3m + 7) + 1 Reorder the terms: 16 + 10m = 5(7 + 3m) + 1 16 + 10m = (7 * 5 + 3m * 5) + 1 16 + 10m = (35 + 15m) + 1 Reorder the terms: 16 + 10m = 35 + 1 + 15m Combine like terms: 35 + 1 = 36 16 + 10m = 36 + 15m Solving 16 + 10m = 36 + 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. 16 + 10m + -15m = 36 + 15m + -15m Combine like terms: 10m + -15m = -5m 16 + -5m = 36 + 15m + -15m Combine like terms: 15m + -15m = 0 16 + -5m = 36 + 0 16 + -5m = 36 Add '-16' to each side of the equation. 16 + -16 + -5m = 36 + -16 Combine like terms: 16 + -16 = 0 0 + -5m = 36 + -16 -5m = 36 + -16 Combine like terms: 36 + -16 = 20 -5m = 20 Divide each side by '-5'. m = -4 Simplifying m = -4
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