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Simplifying 3(m + 8) = 6(m + 3) Reorder the terms: 3(8 + m) = 6(m + 3) (8 * 3 + m * 3) = 6(m + 3) (24 + 3m) = 6(m + 3) Reorder the terms: 24 + 3m = 6(3 + m) 24 + 3m = (3 * 6 + m * 6) 24 + 3m = (18 + 6m) Solving 24 + 3m = 18 + 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 + 3m + -6m = 18 + 6m + -6m Combine like terms: 3m + -6m = -3m 24 + -3m = 18 + 6m + -6m Combine like terms: 6m + -6m = 0 24 + -3m = 18 + 0 24 + -3m = 18 Add '-24' to each side of the equation. 24 + -24 + -3m = 18 + -24 Combine like terms: 24 + -24 = 0 0 + -3m = 18 + -24 -3m = 18 + -24 Combine like terms: 18 + -24 = -6 -3m = -6 Divide each side by '-3'. m = 2 Simplifying m = 2
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