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Simplifying 5(m + 4) + -2m = 4m + 5m + -4 Reorder the terms: 5(4 + m) + -2m = 4m + 5m + -4 (4 * 5 + m * 5) + -2m = 4m + 5m + -4 (20 + 5m) + -2m = 4m + 5m + -4 Combine like terms: 5m + -2m = 3m 20 + 3m = 4m + 5m + -4 Reorder the terms: 20 + 3m = -4 + 4m + 5m Combine like terms: 4m + 5m = 9m 20 + 3m = -4 + 9m Solving 20 + 3m = -4 + 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. 20 + 3m + -9m = -4 + 9m + -9m Combine like terms: 3m + -9m = -6m 20 + -6m = -4 + 9m + -9m Combine like terms: 9m + -9m = 0 20 + -6m = -4 + 0 20 + -6m = -4 Add '-20' to each side of the equation. 20 + -20 + -6m = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -6m = -4 + -20 -6m = -4 + -20 Combine like terms: -4 + -20 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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