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Simplifying -6m + 40 + -9(m + -2) = 5m + -1(3m + -4) + -2m + 9 Reorder the terms: -6m + 40 + -9(-2 + m) = 5m + -1(3m + -4) + -2m + 9 -6m + 40 + (-2 * -9 + m * -9) = 5m + -1(3m + -4) + -2m + 9 -6m + 40 + (18 + -9m) = 5m + -1(3m + -4) + -2m + 9 Reorder the terms: 40 + 18 + -6m + -9m = 5m + -1(3m + -4) + -2m + 9 Combine like terms: 40 + 18 = 58 58 + -6m + -9m = 5m + -1(3m + -4) + -2m + 9 Combine like terms: -6m + -9m = -15m 58 + -15m = 5m + -1(3m + -4) + -2m + 9 Reorder the terms: 58 + -15m = 5m + -1(-4 + 3m) + -2m + 9 58 + -15m = 5m + (-4 * -1 + 3m * -1) + -2m + 9 58 + -15m = 5m + (4 + -3m) + -2m + 9 Reorder the terms: 58 + -15m = 4 + 9 + 5m + -3m + -2m Combine like terms: 4 + 9 = 13 58 + -15m = 13 + 5m + -3m + -2m Combine like terms: 5m + -3m = 2m 58 + -15m = 13 + 2m + -2m Combine like terms: 2m + -2m = 0 58 + -15m = 13 + 0 58 + -15m = 13 Solving 58 + -15m = 13 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -15m = 13 + -58 Combine like terms: 58 + -58 = 0 0 + -15m = 13 + -58 -15m = 13 + -58 Combine like terms: 13 + -58 = -45 -15m = -45 Divide each side by '-15'. m = 3 Simplifying m = 3
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