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Simplifying 4(m + 5) = 3m + 2(m + -1) Reorder the terms: 4(5 + m) = 3m + 2(m + -1) (5 * 4 + m * 4) = 3m + 2(m + -1) (20 + 4m) = 3m + 2(m + -1) Reorder the terms: 20 + 4m = 3m + 2(-1 + m) 20 + 4m = 3m + (-1 * 2 + m * 2) 20 + 4m = 3m + (-2 + 2m) Reorder the terms: 20 + 4m = -2 + 3m + 2m Combine like terms: 3m + 2m = 5m 20 + 4m = -2 + 5m Solving 20 + 4m = -2 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 20 + 4m + -5m = -2 + 5m + -5m Combine like terms: 4m + -5m = -1m 20 + -1m = -2 + 5m + -5m Combine like terms: 5m + -5m = 0 20 + -1m = -2 + 0 20 + -1m = -2 Add '-20' to each side of the equation. 20 + -20 + -1m = -2 + -20 Combine like terms: 20 + -20 = 0 0 + -1m = -2 + -20 -1m = -2 + -20 Combine like terms: -2 + -20 = -22 -1m = -22 Divide each side by '-1'. m = 22 Simplifying m = 22
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