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Simplifying 5(1 + 4m) + 5m = 39 + 8m (1 * 5 + 4m * 5) + 5m = 39 + 8m (5 + 20m) + 5m = 39 + 8m Combine like terms: 20m + 5m = 25m 5 + 25m = 39 + 8m Solving 5 + 25m = 39 + 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 + 25m + -8m = 39 + 8m + -8m Combine like terms: 25m + -8m = 17m 5 + 17m = 39 + 8m + -8m Combine like terms: 8m + -8m = 0 5 + 17m = 39 + 0 5 + 17m = 39 Add '-5' to each side of the equation. 5 + -5 + 17m = 39 + -5 Combine like terms: 5 + -5 = 0 0 + 17m = 39 + -5 17m = 39 + -5 Combine like terms: 39 + -5 = 34 17m = 34 Divide each side by '17'. m = 2 Simplifying m = 2
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