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Simplifying (x + y)(3m + -5n) = 0 Multiply (x + y) * (3m + -5n) (x(3m + -5n) + y(3m + -5n)) = 0 ((3m * x + -5n * x) + y(3m + -5n)) = 0 ((3mx + -5nx) + y(3m + -5n)) = 0 (3mx + -5nx + (3m * y + -5n * y)) = 0 (3mx + -5nx + (3my + -5ny)) = 0 Reorder the terms: (3mx + 3my + -5nx + -5ny) = 0 (3mx + 3my + -5nx + -5ny) = 0 Solving 3mx + 3my + -5nx + -5ny = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5nx' to each side of the equation. 3mx + 3my + -5nx + 5nx + -5ny = 0 + 5nx Combine like terms: -5nx + 5nx = 0 3mx + 3my + 0 + -5ny = 0 + 5nx 3mx + 3my + -5ny = 0 + 5nx Remove the zero: 3mx + 3my + -5ny = 5nx Add '5ny' to each side of the equation. 3mx + 3my + -5ny + 5ny = 5nx + 5ny Combine like terms: -5ny + 5ny = 0 3mx + 3my + 0 = 5nx + 5ny 3mx + 3my = 5nx + 5ny Reorder the terms: 3mx + 3my + -5nx + -5ny = 5nx + -5nx + 5ny + -5ny Combine like terms: 5nx + -5nx = 0 3mx + 3my + -5nx + -5ny = 0 + 5ny + -5ny 3mx + 3my + -5nx + -5ny = 5ny + -5ny Combine like terms: 5ny + -5ny = 0 3mx + 3my + -5nx + -5ny = 0 The solution to this equation could not be determined.
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