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Simplifying (2m + 3n) + (5n + -7m) + -1(3m + 9n) = 0 Remove parenthesis around (2m + 3n) 2m + 3n + (5n + -7m) + -1(3m + 9n) = 0 Reorder the terms: 2m + 3n + (-7m + 5n) + -1(3m + 9n) = 0 Remove parenthesis around (-7m + 5n) 2m + 3n + -7m + 5n + -1(3m + 9n) = 0 2m + 3n + -7m + 5n + (3m * -1 + 9n * -1) = 0 2m + 3n + -7m + 5n + (-3m + -9n) = 0 Reorder the terms: 2m + -7m + -3m + 3n + 5n + -9n = 0 Combine like terms: 2m + -7m = -5m -5m + -3m + 3n + 5n + -9n = 0 Combine like terms: -5m + -3m = -8m -8m + 3n + 5n + -9n = 0 Combine like terms: 3n + 5n = 8n -8m + 8n + -9n = 0 Combine like terms: 8n + -9n = -1n -8m + -1n = 0 Solving -8m + -1n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. -8m + -1n + n = 0 + n Combine like terms: -1n + n = 0 -8m + 0 = 0 + n -8m = 0 + n Remove the zero: -8m = n Divide each side by '-8'. m = -0.125n Simplifying m = -0.125n
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