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Simplifying 125(5 + -1m) = 7 + -1(1 + 3m) (5 * 125 + -1m * 125) = 7 + -1(1 + 3m) (625 + -125m) = 7 + -1(1 + 3m) 625 + -125m = 7 + (1 * -1 + 3m * -1) 625 + -125m = 7 + (-1 + -3m) Combine like terms: 7 + -1 = 6 625 + -125m = 6 + -3m Solving 625 + -125m = 6 + -3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '3m' to each side of the equation. 625 + -125m + 3m = 6 + -3m + 3m Combine like terms: -125m + 3m = -122m 625 + -122m = 6 + -3m + 3m Combine like terms: -3m + 3m = 0 625 + -122m = 6 + 0 625 + -122m = 6 Add '-625' to each side of the equation. 625 + -625 + -122m = 6 + -625 Combine like terms: 625 + -625 = 0 0 + -122m = 6 + -625 -122m = 6 + -625 Combine like terms: 6 + -625 = -619 -122m = -619 Divide each side by '-122'. m = 5.073770492 Simplifying m = 5.073770492
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