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Simplifying 3(m + 8) + -2(m + -2) = 24 Reorder the terms: 3(8 + m) + -2(m + -2) = 24 (8 * 3 + m * 3) + -2(m + -2) = 24 (24 + 3m) + -2(m + -2) = 24 Reorder the terms: 24 + 3m + -2(-2 + m) = 24 24 + 3m + (-2 * -2 + m * -2) = 24 24 + 3m + (4 + -2m) = 24 Reorder the terms: 24 + 4 + 3m + -2m = 24 Combine like terms: 24 + 4 = 28 28 + 3m + -2m = 24 Combine like terms: 3m + -2m = 1m 28 + 1m = 24 Solving 28 + 1m = 24 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 1m = 24 + -28 Combine like terms: 28 + -28 = 0 0 + 1m = 24 + -28 1m = 24 + -28 Combine like terms: 24 + -28 = -4 1m = -4 Divide each side by '1'. m = -4 Simplifying m = -4
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