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Simplifying (2m + -4n) + -1(5m + 3n) = 0 Remove parenthesis around (2m + -4n) 2m + -4n + -1(5m + 3n) = 0 2m + -4n + (5m * -1 + 3n * -1) = 0 2m + -4n + (-5m + -3n) = 0 Reorder the terms: 2m + -5m + -4n + -3n = 0 Combine like terms: 2m + -5m = -3m -3m + -4n + -3n = 0 Combine like terms: -4n + -3n = -7n -3m + -7n = 0 Solving -3m + -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. -3m + -7n + 7n = 0 + 7n Combine like terms: -7n + 7n = 0 -3m + 0 = 0 + 7n -3m = 0 + 7n Remove the zero: -3m = 7n Divide each side by '-3'. m = -2.333333333n Simplifying m = -2.333333333n
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