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Simplifying 5(2m + 9) = 7(3m + 5) Reorder the terms: 5(9 + 2m) = 7(3m + 5) (9 * 5 + 2m * 5) = 7(3m + 5) (45 + 10m) = 7(3m + 5) Reorder the terms: 45 + 10m = 7(5 + 3m) 45 + 10m = (5 * 7 + 3m * 7) 45 + 10m = (35 + 21m) Solving 45 + 10m = 35 + 21m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-21m' to each side of the equation. 45 + 10m + -21m = 35 + 21m + -21m Combine like terms: 10m + -21m = -11m 45 + -11m = 35 + 21m + -21m Combine like terms: 21m + -21m = 0 45 + -11m = 35 + 0 45 + -11m = 35 Add '-45' to each side of the equation. 45 + -45 + -11m = 35 + -45 Combine like terms: 45 + -45 = 0 0 + -11m = 35 + -45 -11m = 35 + -45 Combine like terms: 35 + -45 = -10 -11m = -10 Divide each side by '-11'. m = 0.9090909091 Simplifying m = 0.9090909091
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