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Simplifying 2m + 9(m + 1) = 3(5m + -2) + -5(m + -4) Reorder the terms: 2m + 9(1 + m) = 3(5m + -2) + -5(m + -4) 2m + (1 * 9 + m * 9) = 3(5m + -2) + -5(m + -4) 2m + (9 + 9m) = 3(5m + -2) + -5(m + -4) Reorder the terms: 9 + 2m + 9m = 3(5m + -2) + -5(m + -4) Combine like terms: 2m + 9m = 11m 9 + 11m = 3(5m + -2) + -5(m + -4) Reorder the terms: 9 + 11m = 3(-2 + 5m) + -5(m + -4) 9 + 11m = (-2 * 3 + 5m * 3) + -5(m + -4) 9 + 11m = (-6 + 15m) + -5(m + -4) Reorder the terms: 9 + 11m = -6 + 15m + -5(-4 + m) 9 + 11m = -6 + 15m + (-4 * -5 + m * -5) 9 + 11m = -6 + 15m + (20 + -5m) Reorder the terms: 9 + 11m = -6 + 20 + 15m + -5m Combine like terms: -6 + 20 = 14 9 + 11m = 14 + 15m + -5m Combine like terms: 15m + -5m = 10m 9 + 11m = 14 + 10m Solving 9 + 11m = 14 + 10m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-10m' to each side of the equation. 9 + 11m + -10m = 14 + 10m + -10m Combine like terms: 11m + -10m = 1m 9 + 1m = 14 + 10m + -10m Combine like terms: 10m + -10m = 0 9 + 1m = 14 + 0 9 + 1m = 14 Add '-9' to each side of the equation. 9 + -9 + 1m = 14 + -9 Combine like terms: 9 + -9 = 0 0 + 1m = 14 + -9 1m = 14 + -9 Combine like terms: 14 + -9 = 5 1m = 5 Divide each side by '1'. m = 5 Simplifying m = 5
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