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Simplifying 5(m + 3) + 3(3 + -2m) = -2(m + -3) + -2 Reorder the terms: 5(3 + m) + 3(3 + -2m) = -2(m + -3) + -2 (3 * 5 + m * 5) + 3(3 + -2m) = -2(m + -3) + -2 (15 + 5m) + 3(3 + -2m) = -2(m + -3) + -2 15 + 5m + (3 * 3 + -2m * 3) = -2(m + -3) + -2 15 + 5m + (9 + -6m) = -2(m + -3) + -2 Reorder the terms: 15 + 9 + 5m + -6m = -2(m + -3) + -2 Combine like terms: 15 + 9 = 24 24 + 5m + -6m = -2(m + -3) + -2 Combine like terms: 5m + -6m = -1m 24 + -1m = -2(m + -3) + -2 Reorder the terms: 24 + -1m = -2(-3 + m) + -2 24 + -1m = (-3 * -2 + m * -2) + -2 24 + -1m = (6 + -2m) + -2 Reorder the terms: 24 + -1m = 6 + -2 + -2m Combine like terms: 6 + -2 = 4 24 + -1m = 4 + -2m Solving 24 + -1m = 4 + -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. 24 + -1m + 2m = 4 + -2m + 2m Combine like terms: -1m + 2m = 1m 24 + 1m = 4 + -2m + 2m Combine like terms: -2m + 2m = 0 24 + 1m = 4 + 0 24 + 1m = 4 Add '-24' to each side of the equation. 24 + -24 + 1m = 4 + -24 Combine like terms: 24 + -24 = 0 0 + 1m = 4 + -24 1m = 4 + -24 Combine like terms: 4 + -24 = -20 1m = -20 Divide each side by '1'. m = -20 Simplifying m = -20
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