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Simplifying 5(9 + 25m) = 4(1 + 31m) (9 * 5 + 25m * 5) = 4(1 + 31m) (45 + 125m) = 4(1 + 31m) 45 + 125m = (1 * 4 + 31m * 4) 45 + 125m = (4 + 124m) Solving 45 + 125m = 4 + 124m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-124m' to each side of the equation. 45 + 125m + -124m = 4 + 124m + -124m Combine like terms: 125m + -124m = 1m 45 + 1m = 4 + 124m + -124m Combine like terms: 124m + -124m = 0 45 + 1m = 4 + 0 45 + 1m = 4 Add '-45' to each side of the equation. 45 + -45 + 1m = 4 + -45 Combine like terms: 45 + -45 = 0 0 + 1m = 4 + -45 1m = 4 + -45 Combine like terms: 4 + -45 = -41 1m = -41 Divide each side by '1'. m = -41 Simplifying m = -41
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