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Simplifying -5m + 20 + -4(m + -1) = 2m + -1(4m + -3) + -3m + 9 Reorder the terms: -5m + 20 + -4(-1 + m) = 2m + -1(4m + -3) + -3m + 9 -5m + 20 + (-1 * -4 + m * -4) = 2m + -1(4m + -3) + -3m + 9 -5m + 20 + (4 + -4m) = 2m + -1(4m + -3) + -3m + 9 Reorder the terms: 20 + 4 + -5m + -4m = 2m + -1(4m + -3) + -3m + 9 Combine like terms: 20 + 4 = 24 24 + -5m + -4m = 2m + -1(4m + -3) + -3m + 9 Combine like terms: -5m + -4m = -9m 24 + -9m = 2m + -1(4m + -3) + -3m + 9 Reorder the terms: 24 + -9m = 2m + -1(-3 + 4m) + -3m + 9 24 + -9m = 2m + (-3 * -1 + 4m * -1) + -3m + 9 24 + -9m = 2m + (3 + -4m) + -3m + 9 Reorder the terms: 24 + -9m = 3 + 9 + 2m + -4m + -3m Combine like terms: 3 + 9 = 12 24 + -9m = 12 + 2m + -4m + -3m Combine like terms: 2m + -4m = -2m 24 + -9m = 12 + -2m + -3m Combine like terms: -2m + -3m = -5m 24 + -9m = 12 + -5m Solving 24 + -9m = 12 + -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. 24 + -9m + 5m = 12 + -5m + 5m Combine like terms: -9m + 5m = -4m 24 + -4m = 12 + -5m + 5m Combine like terms: -5m + 5m = 0 24 + -4m = 12 + 0 24 + -4m = 12 Add '-24' to each side of the equation. 24 + -24 + -4m = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -4m = 12 + -24 -4m = 12 + -24 Combine like terms: 12 + -24 = -12 -4m = -12 Divide each side by '-4'. m = 3 Simplifying m = 3
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