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Simplifying (-7m + 5n) + -1(2m + 4n) = 0 Remove parenthesis around (-7m + 5n) -7m + 5n + -1(2m + 4n) = 0 -7m + 5n + (2m * -1 + 4n * -1) = 0 -7m + 5n + (-2m + -4n) = 0 Reorder the terms: -7m + -2m + 5n + -4n = 0 Combine like terms: -7m + -2m = -9m -9m + 5n + -4n = 0 Combine like terms: 5n + -4n = 1n -9m + 1n = 0 Solving -9m + 1n = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1n' to each side of the equation. -9m + 1n + -1n = 0 + -1n Combine like terms: 1n + -1n = 0 -9m + 0 = 0 + -1n -9m = 0 + -1n Remove the zero: -9m = -1n Divide each side by '-9'. m = 0.1111111111n Simplifying m = 0.1111111111n
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