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Simplifying 4(m + 4) + 2 = 3(m + 6) Reorder the terms: 4(4 + m) + 2 = 3(m + 6) (4 * 4 + m * 4) + 2 = 3(m + 6) (16 + 4m) + 2 = 3(m + 6) Reorder the terms: 16 + 2 + 4m = 3(m + 6) Combine like terms: 16 + 2 = 18 18 + 4m = 3(m + 6) Reorder the terms: 18 + 4m = 3(6 + m) 18 + 4m = (6 * 3 + m * 3) 18 + 4m = (18 + 3m) Add '-18' to each side of the equation. 18 + -18 + 4m = 18 + -18 + 3m Combine like terms: 18 + -18 = 0 0 + 4m = 18 + -18 + 3m 4m = 18 + -18 + 3m Combine like terms: 18 + -18 = 0 4m = 0 + 3m 4m = 3m Solving 4m = 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. 4m + -3m = 3m + -3m Combine like terms: 4m + -3m = 1m 1m = 3m + -3m Combine like terms: 3m + -3m = 0 1m = 0 Divide each side by '1'. m = 0 Simplifying m = 0
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