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Simplifying 7x(m + -3n) + -4y(m + -3n) = 0 (m * 7x + -3n * 7x) + -4y(m + -3n) = 0 (7mx + -21nx) + -4y(m + -3n) = 0 7mx + -21nx + (m * -4y + -3n * -4y) = 0 7mx + -21nx + (-4my + 12ny) = 0 Reorder the terms: 7mx + -4my + -21nx + 12ny = 0 Solving 7mx + -4my + -21nx + 12ny = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21nx' to each side of the equation. 7mx + -4my + -21nx + 21nx + 12ny = 0 + 21nx Combine like terms: -21nx + 21nx = 0 7mx + -4my + 0 + 12ny = 0 + 21nx 7mx + -4my + 12ny = 0 + 21nx Remove the zero: 7mx + -4my + 12ny = 21nx Add '-12ny' to each side of the equation. 7mx + -4my + 12ny + -12ny = 21nx + -12ny Combine like terms: 12ny + -12ny = 0 7mx + -4my + 0 = 21nx + -12ny 7mx + -4my = 21nx + -12ny Reorder the terms: 7mx + -4my + -21nx + 12ny = 21nx + -21nx + -12ny + 12ny Combine like terms: 21nx + -21nx = 0 7mx + -4my + -21nx + 12ny = 0 + -12ny + 12ny 7mx + -4my + -21nx + 12ny = -12ny + 12ny Combine like terms: -12ny + 12ny = 0 7mx + -4my + -21nx + 12ny = 0 The solution to this equation could not be determined.
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