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Simplifying 3(m + 6) + -2(m + -3) = 9 Reorder the terms: 3(6 + m) + -2(m + -3) = 9 (6 * 3 + m * 3) + -2(m + -3) = 9 (18 + 3m) + -2(m + -3) = 9 Reorder the terms: 18 + 3m + -2(-3 + m) = 9 18 + 3m + (-3 * -2 + m * -2) = 9 18 + 3m + (6 + -2m) = 9 Reorder the terms: 18 + 6 + 3m + -2m = 9 Combine like terms: 18 + 6 = 24 24 + 3m + -2m = 9 Combine like terms: 3m + -2m = 1m 24 + 1m = 9 Solving 24 + 1m = 9 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1m = 9 + -24 Combine like terms: 24 + -24 = 0 0 + 1m = 9 + -24 1m = 9 + -24 Combine like terms: 9 + -24 = -15 1m = -15 Divide each side by '1'. m = -15 Simplifying m = -15
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