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Simplifying 5m + 8 = 3(m + 4) Reorder the terms: 8 + 5m = 3(m + 4) Reorder the terms: 8 + 5m = 3(4 + m) 8 + 5m = (4 * 3 + m * 3) 8 + 5m = (12 + 3m) Solving 8 + 5m = 12 + 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. 8 + 5m + -3m = 12 + 3m + -3m Combine like terms: 5m + -3m = 2m 8 + 2m = 12 + 3m + -3m Combine like terms: 3m + -3m = 0 8 + 2m = 12 + 0 8 + 2m = 12 Add '-8' to each side of the equation. 8 + -8 + 2m = 12 + -8 Combine like terms: 8 + -8 = 0 0 + 2m = 12 + -8 2m = 12 + -8 Combine like terms: 12 + -8 = 4 2m = 4 Divide each side by '2'. m = 2 Simplifying m = 2
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