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Simplifying 3(3m + 8) = 6(m + -1) Reorder the terms: 3(8 + 3m) = 6(m + -1) (8 * 3 + 3m * 3) = 6(m + -1) (24 + 9m) = 6(m + -1) Reorder the terms: 24 + 9m = 6(-1 + m) 24 + 9m = (-1 * 6 + m * 6) 24 + 9m = (-6 + 6m) Solving 24 + 9m = -6 + 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. 24 + 9m + -6m = -6 + 6m + -6m Combine like terms: 9m + -6m = 3m 24 + 3m = -6 + 6m + -6m Combine like terms: 6m + -6m = 0 24 + 3m = -6 + 0 24 + 3m = -6 Add '-24' to each side of the equation. 24 + -24 + 3m = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 3m = -6 + -24 3m = -6 + -24 Combine like terms: -6 + -24 = -30 3m = -30 Divide each side by '3'. m = -10 Simplifying m = -10
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