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