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Simplifying 5(m + 2) + -5(2 + -2m) = 14(m + 1) + -4 Reorder the terms: 5(2 + m) + -5(2 + -2m) = 14(m + 1) + -4 (2 * 5 + m * 5) + -5(2 + -2m) = 14(m + 1) + -4 (10 + 5m) + -5(2 + -2m) = 14(m + 1) + -4 10 + 5m + (2 * -5 + -2m * -5) = 14(m + 1) + -4 10 + 5m + (-10 + 10m) = 14(m + 1) + -4 Reorder the terms: 10 + -10 + 5m + 10m = 14(m + 1) + -4 Combine like terms: 10 + -10 = 0 0 + 5m + 10m = 14(m + 1) + -4 5m + 10m = 14(m + 1) + -4 Combine like terms: 5m + 10m = 15m 15m = 14(m + 1) + -4 Reorder the terms: 15m = 14(1 + m) + -4 15m = (1 * 14 + m * 14) + -4 15m = (14 + 14m) + -4 Reorder the terms: 15m = 14 + -4 + 14m Combine like terms: 14 + -4 = 10 15m = 10 + 14m Solving 15m = 10 + 14m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14m' to each side of the equation. 15m + -14m = 10 + 14m + -14m Combine like terms: 15m + -14m = 1m 1m = 10 + 14m + -14m Combine like terms: 14m + -14m = 0 1m = 10 + 0 1m = 10 Divide each side by '1'. m = 10 Simplifying m = 10
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