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Simplifying 20 + -5(1 + -2m) + 6(m + -1) = 3(5m + -2) 20 + (1 * -5 + -2m * -5) + 6(m + -1) = 3(5m + -2) 20 + (-5 + 10m) + 6(m + -1) = 3(5m + -2) Reorder the terms: 20 + -5 + 10m + 6(-1 + m) = 3(5m + -2) 20 + -5 + 10m + (-1 * 6 + m * 6) = 3(5m + -2) 20 + -5 + 10m + (-6 + 6m) = 3(5m + -2) Reorder the terms: 20 + -5 + -6 + 10m + 6m = 3(5m + -2) Combine like terms: 20 + -5 = 15 15 + -6 + 10m + 6m = 3(5m + -2) Combine like terms: 15 + -6 = 9 9 + 10m + 6m = 3(5m + -2) Combine like terms: 10m + 6m = 16m 9 + 16m = 3(5m + -2) Reorder the terms: 9 + 16m = 3(-2 + 5m) 9 + 16m = (-2 * 3 + 5m * 3) 9 + 16m = (-6 + 15m) Solving 9 + 16m = -6 + 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. 9 + 16m + -15m = -6 + 15m + -15m Combine like terms: 16m + -15m = 1m 9 + 1m = -6 + 15m + -15m Combine like terms: 15m + -15m = 0 9 + 1m = -6 + 0 9 + 1m = -6 Add '-9' to each side of the equation. 9 + -9 + 1m = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 1m = -6 + -9 1m = -6 + -9 Combine like terms: -6 + -9 = -15 1m = -15 Divide each side by '1'. m = -15 Simplifying m = -15
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