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Simplifying 3(2m + 8) = 6(m + 1) + -24m Reorder the terms: 3(8 + 2m) = 6(m + 1) + -24m (8 * 3 + 2m * 3) = 6(m + 1) + -24m (24 + 6m) = 6(m + 1) + -24m Reorder the terms: 24 + 6m = 6(1 + m) + -24m 24 + 6m = (1 * 6 + m * 6) + -24m 24 + 6m = (6 + 6m) + -24m Combine like terms: 6m + -24m = -18m 24 + 6m = 6 + -18m Solving 24 + 6m = 6 + -18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '18m' to each side of the equation. 24 + 6m + 18m = 6 + -18m + 18m Combine like terms: 6m + 18m = 24m 24 + 24m = 6 + -18m + 18m Combine like terms: -18m + 18m = 0 24 + 24m = 6 + 0 24 + 24m = 6 Add '-24' to each side of the equation. 24 + -24 + 24m = 6 + -24 Combine like terms: 24 + -24 = 0 0 + 24m = 6 + -24 24m = 6 + -24 Combine like terms: 6 + -24 = -18 24m = -18 Divide each side by '24'. m = -0.75 Simplifying m = -0.75
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