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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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