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Simplifying -1(5m + -3n) + -2(7m + -3n) = 0 (5m * -1 + -3n * -1) + -2(7m + -3n) = 0 (-5m + 3n) + -2(7m + -3n) = 0 -5m + 3n + (7m * -2 + -3n * -2) = 0 -5m + 3n + (-14m + 6n) = 0 Reorder the terms: -5m + -14m + 3n + 6n = 0 Combine like terms: -5m + -14m = -19m -19m + 3n + 6n = 0 Combine like terms: 3n + 6n = 9n -19m + 9n = 0 Solving -19m + 9n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9n' to each side of the equation. -19m + 9n + -9n = 0 + -9n Combine like terms: 9n + -9n = 0 -19m + 0 = 0 + -9n -19m = 0 + -9n Remove the zero: -19m = -9n Divide each side by '-19'. m = 0.4736842105n Simplifying m = 0.4736842105n
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