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Simplifying 4(m + 2) + -5(m + 1) = 14 + -2(m + -2) Reorder the terms: 4(2 + m) + -5(m + 1) = 14 + -2(m + -2) (2 * 4 + m * 4) + -5(m + 1) = 14 + -2(m + -2) (8 + 4m) + -5(m + 1) = 14 + -2(m + -2) Reorder the terms: 8 + 4m + -5(1 + m) = 14 + -2(m + -2) 8 + 4m + (1 * -5 + m * -5) = 14 + -2(m + -2) 8 + 4m + (-5 + -5m) = 14 + -2(m + -2) Reorder the terms: 8 + -5 + 4m + -5m = 14 + -2(m + -2) Combine like terms: 8 + -5 = 3 3 + 4m + -5m = 14 + -2(m + -2) Combine like terms: 4m + -5m = -1m 3 + -1m = 14 + -2(m + -2) Reorder the terms: 3 + -1m = 14 + -2(-2 + m) 3 + -1m = 14 + (-2 * -2 + m * -2) 3 + -1m = 14 + (4 + -2m) Combine like terms: 14 + 4 = 18 3 + -1m = 18 + -2m Solving 3 + -1m = 18 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 3 + -1m + 2m = 18 + -2m + 2m Combine like terms: -1m + 2m = 1m 3 + 1m = 18 + -2m + 2m Combine like terms: -2m + 2m = 0 3 + 1m = 18 + 0 3 + 1m = 18 Add '-3' to each side of the equation. 3 + -3 + 1m = 18 + -3 Combine like terms: 3 + -3 = 0 0 + 1m = 18 + -3 1m = 18 + -3 Combine like terms: 18 + -3 = 15 1m = 15 Divide each side by '1'. m = 15 Simplifying m = 15
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