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Simplifying 6(m + 2) = 18 + 3(m + 5) Reorder the terms: 6(2 + m) = 18 + 3(m + 5) (2 * 6 + m * 6) = 18 + 3(m + 5) (12 + 6m) = 18 + 3(m + 5) Reorder the terms: 12 + 6m = 18 + 3(5 + m) 12 + 6m = 18 + (5 * 3 + m * 3) 12 + 6m = 18 + (15 + 3m) Combine like terms: 18 + 15 = 33 12 + 6m = 33 + 3m Solving 12 + 6m = 33 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 12 + 6m + -3m = 33 + 3m + -3m Combine like terms: 6m + -3m = 3m 12 + 3m = 33 + 3m + -3m Combine like terms: 3m + -3m = 0 12 + 3m = 33 + 0 12 + 3m = 33 Add '-12' to each side of the equation. 12 + -12 + 3m = 33 + -12 Combine like terms: 12 + -12 = 0 0 + 3m = 33 + -12 3m = 33 + -12 Combine like terms: 33 + -12 = 21 3m = 21 Divide each side by '3'. m = 7 Simplifying m = 7
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