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Simplifying 30 = 5(1 + 4m) + -2m 30 = (1 * 5 + 4m * 5) + -2m 30 = (5 + 20m) + -2m Combine like terms: 20m + -2m = 18m 30 = 5 + 18m Solving 30 = 5 + 18m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-18m' to each side of the equation. 30 + -18m = 5 + 18m + -18m Combine like terms: 18m + -18m = 0 30 + -18m = 5 + 0 30 + -18m = 5 Add '-30' to each side of the equation. 30 + -30 + -18m = 5 + -30 Combine like terms: 30 + -30 = 0 0 + -18m = 5 + -30 -18m = 5 + -30 Combine like terms: 5 + -30 = -25 -18m = -25 Divide each side by '-18'. m = 1.388888889 Simplifying m = 1.388888889
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