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Simplifying 4(m + 2) = 5m Reorder the terms: 4(2 + m) = 5m (2 * 4 + m * 4) = 5m (8 + 4m) = 5m Solving 8 + 4m = 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 8 + 4m + -5m = 5m + -5m Combine like terms: 4m + -5m = -1m 8 + -1m = 5m + -5m Combine like terms: 5m + -5m = 0 8 + -1m = 0 Add '-8' to each side of the equation. 8 + -8 + -1m = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1m = 0 + -8 -1m = 0 + -8 Combine like terms: 0 + -8 = -8 -1m = -8 Divide each side by '-1'. m = 8 Simplifying m = 8
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