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Simplifying 4(m + 3) + 2 = 3(m + 6) Reorder the terms: 4(3 + m) + 2 = 3(m + 6) (3 * 4 + m * 4) + 2 = 3(m + 6) (12 + 4m) + 2 = 3(m + 6) Reorder the terms: 12 + 2 + 4m = 3(m + 6) Combine like terms: 12 + 2 = 14 14 + 4m = 3(m + 6) Reorder the terms: 14 + 4m = 3(6 + m) 14 + 4m = (6 * 3 + m * 3) 14 + 4m = (18 + 3m) Solving 14 + 4m = 18 + 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. 14 + 4m + -3m = 18 + 3m + -3m Combine like terms: 4m + -3m = 1m 14 + 1m = 18 + 3m + -3m Combine like terms: 3m + -3m = 0 14 + 1m = 18 + 0 14 + 1m = 18 Add '-14' to each side of the equation. 14 + -14 + 1m = 18 + -14 Combine like terms: 14 + -14 = 0 0 + 1m = 18 + -14 1m = 18 + -14 Combine like terms: 18 + -14 = 4 1m = 4 Divide each side by '1'. m = 4 Simplifying m = 4
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