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Simplifying 5(2m + -9) = 3(9 + -2n) Reorder the terms: 5(-9 + 2m) = 3(9 + -2n) (-9 * 5 + 2m * 5) = 3(9 + -2n) (-45 + 10m) = 3(9 + -2n) -45 + 10m = (9 * 3 + -2n * 3) -45 + 10m = (27 + -6n) Solving -45 + 10m = 27 + -6n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + 10m = 27 + 45 + -6n Combine like terms: -45 + 45 = 0 0 + 10m = 27 + 45 + -6n 10m = 27 + 45 + -6n Combine like terms: 27 + 45 = 72 10m = 72 + -6n Divide each side by '10'. m = 7.2 + -0.6n Simplifying m = 7.2 + -0.6n
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