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Simplifying 4(2m + 5) = 3m + -2 Reorder the terms: 4(5 + 2m) = 3m + -2 (5 * 4 + 2m * 4) = 3m + -2 (20 + 8m) = 3m + -2 Reorder the terms: 20 + 8m = -2 + 3m Solving 20 + 8m = -2 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 20 + 8m + -3m = -2 + 3m + -3m Combine like terms: 8m + -3m = 5m 20 + 5m = -2 + 3m + -3m Combine like terms: 3m + -3m = 0 20 + 5m = -2 + 0 20 + 5m = -2 Add '-20' to each side of the equation. 20 + -20 + 5m = -2 + -20 Combine like terms: 20 + -20 = 0 0 + 5m = -2 + -20 5m = -2 + -20 Combine like terms: -2 + -20 = -22 5m = -22 Divide each side by '5'. m = -4.4 Simplifying m = -4.4
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