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