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Simplifying (3m + n + -5m + -1(2n + 5m + -3n + -1n + 2n + -2m + 3n + 4m + n + 2m + -3n) + 3n + -2m + 4n) = 0 Reorder the terms: (3m + n + -5m + -1(5m + -2m + 4m + 2m + 2n + -3n + -1n + 2n + 3n + n + -3n) + 3n + -2m + 4n) = 0 Combine like terms: 5m + -2m = 3m (3m + n + -5m + -1(3m + 4m + 2m + 2n + -3n + -1n + 2n + 3n + n + -3n) + 3n + -2m + 4n) = 0 Combine like terms: 3m + 4m = 7m (3m + n + -5m + -1(7m + 2m + 2n + -3n + -1n + 2n + 3n + n + -3n) + 3n + -2m + 4n) = 0 Combine like terms: 7m + 2m = 9m (3m + n + -5m + -1(9m + 2n + -3n + -1n + 2n + 3n + n + -3n) + 3n + -2m + 4n) = 0 Combine like terms: 2n + -3n = -1n (3m + n + -5m + -1(9m + -1n + -1n + 2n + 3n + n + -3n) + 3n + -2m + 4n) = 0 Combine like terms: -1n + -1n = -2n (3m + n + -5m + -1(9m + -2n + 2n + 3n + n + -3n) + 3n + -2m + 4n) = 0 Combine like terms: -2n + 2n = 0 (3m + n + -5m + -1(9m + 0 + 3n + n + -3n) + 3n + -2m + 4n) = 0 (3m + n + -5m + -1(9m + 3n + n + -3n) + 3n + -2m + 4n) = 0 Combine like terms: 3n + n = 4n (3m + n + -5m + -1(9m + 4n + -3n) + 3n + -2m + 4n) = 0 Combine like terms: 4n + -3n = 1n (3m + n + -5m + -1(9m + 1n) + 3n + -2m + 4n) = 0 (3m + n + -5m + (9m * -1 + 1n * -1) + 3n + -2m + 4n) = 0 (3m + n + -5m + (-9m + -1n) + 3n + -2m + 4n) = 0 Reorder the terms: (3m + -5m + -9m + -2m + n + -1n + 3n + 4n) = 0 Combine like terms: 3m + -5m = -2m (-2m + -9m + -2m + n + -1n + 3n + 4n) = 0 Combine like terms: -2m + -9m = -11m (-11m + -2m + n + -1n + 3n + 4n) = 0 Combine like terms: -11m + -2m = -13m (-13m + n + -1n + 3n + 4n) = 0 Combine like terms: n + -1n = 0 (-13m + 0 + 3n + 4n) = 0 (-13m + 3n + 4n) = 0 Combine like terms: 3n + 4n = 7n (-13m + 7n) = 0 Remove parenthesis around (-13m + 7n) -13m + 7n = 0 Solving -13m + 7n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7n' to each side of the equation. -13m + 7n + -7n = 0 + -7n Combine like terms: 7n + -7n = 0 -13m + 0 = 0 + -7n -13m = 0 + -7n Remove the zero: -13m = -7n Divide each side by '-13'. m = 0.5384615385n Simplifying m = 0.5384615385n
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