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Simplifying (7m + -2n) + (5x + -3y) = 0 Remove parenthesis around (7m + -2n) 7m + -2n + (5x + -3y) = 0 Remove parenthesis around (5x + -3y) 7m + -2n + 5x + -3y = 0 Solving 7m + -2n + 5x + -3y = 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. 7m + -2n + 5x + 2n + -3y = 0 + 2n Reorder the terms: 7m + -2n + 2n + 5x + -3y = 0 + 2n Combine like terms: -2n + 2n = 0 7m + 0 + 5x + -3y = 0 + 2n 7m + 5x + -3y = 0 + 2n Remove the zero: 7m + 5x + -3y = 2n Add '-5x' to each side of the equation. 7m + 5x + -5x + -3y = 2n + -5x Combine like terms: 5x + -5x = 0 7m + 0 + -3y = 2n + -5x 7m + -3y = 2n + -5x Add '3y' to each side of the equation. 7m + -3y + 3y = 2n + -5x + 3y Combine like terms: -3y + 3y = 0 7m + 0 = 2n + -5x + 3y 7m = 2n + -5x + 3y Divide each side by '7'. m = 0.2857142857n + -0.7142857143x + 0.4285714286y Simplifying m = 0.2857142857n + -0.7142857143x + 0.4285714286y
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