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Simplifying 5(1 + 4m) = 29 + 8m (1 * 5 + 4m * 5) = 29 + 8m (5 + 20m) = 29 + 8m Solving 5 + 20m = 29 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 5 + 20m + -8m = 29 + 8m + -8m Combine like terms: 20m + -8m = 12m 5 + 12m = 29 + 8m + -8m Combine like terms: 8m + -8m = 0 5 + 12m = 29 + 0 5 + 12m = 29 Add '-5' to each side of the equation. 5 + -5 + 12m = 29 + -5 Combine like terms: 5 + -5 = 0 0 + 12m = 29 + -5 12m = 29 + -5 Combine like terms: 29 + -5 = 24 12m = 24 Divide each side by '12'. m = 2 Simplifying m = 2
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