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Simplifying 9(2m + 8) = 18(m + 3) + -24m Reorder the terms: 9(8 + 2m) = 18(m + 3) + -24m (8 * 9 + 2m * 9) = 18(m + 3) + -24m (72 + 18m) = 18(m + 3) + -24m Reorder the terms: 72 + 18m = 18(3 + m) + -24m 72 + 18m = (3 * 18 + m * 18) + -24m 72 + 18m = (54 + 18m) + -24m Combine like terms: 18m + -24m = -6m 72 + 18m = 54 + -6m Solving 72 + 18m = 54 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 72 + 18m + 6m = 54 + -6m + 6m Combine like terms: 18m + 6m = 24m 72 + 24m = 54 + -6m + 6m Combine like terms: -6m + 6m = 0 72 + 24m = 54 + 0 72 + 24m = 54 Add '-72' to each side of the equation. 72 + -72 + 24m = 54 + -72 Combine like terms: 72 + -72 = 0 0 + 24m = 54 + -72 24m = 54 + -72 Combine like terms: 54 + -72 = -18 24m = -18 Divide each side by '24'. m = -0.75 Simplifying m = -0.75
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