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Simplifying x(m + n) + y(m + n) = 0 (m * x + n * x) + y(m + n) = 0 (mx + nx) + y(m + n) = 0 mx + nx + (m * y + n * y) = 0 mx + nx + (my + ny) = 0 Reorder the terms: mx + my + nx + ny = 0 Solving mx + my + nx + ny = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1nx' to each side of the equation. mx + my + nx + -1nx + ny = 0 + -1nx Combine like terms: nx + -1nx = 0 mx + my + 0 + ny = 0 + -1nx mx + my + ny = 0 + -1nx Remove the zero: mx + my + ny = -1nx Add '-1ny' to each side of the equation. mx + my + ny + -1ny = -1nx + -1ny Combine like terms: ny + -1ny = 0 mx + my + 0 = -1nx + -1ny mx + my = -1nx + -1ny Reorder the terms: mx + my + nx + ny = -1nx + nx + -1ny + ny Combine like terms: -1nx + nx = 0 mx + my + nx + ny = 0 + -1ny + ny mx + my + nx + ny = -1ny + ny Combine like terms: -1ny + ny = 0 mx + my + nx + ny = 0 The solution to this equation could not be determined.
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