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Simplifying u(v + 2) + w(v + -3) = z(v + -1) * foru Reorder the terms: u(2 + v) + w(v + -3) = z(v + -1) * foru (2 * u + v * u) + w(v + -3) = z(v + -1) * foru (2u + uv) + w(v + -3) = z(v + -1) * foru Reorder the terms: 2u + uv + w(-3 + v) = z(v + -1) * foru 2u + uv + (-3 * w + v * w) = z(v + -1) * foru Reorder the terms: 2u + uv + (vw + -3w) = z(v + -1) * foru 2u + uv + (vw + -3w) = z(v + -1) * foru Reorder the terms: 2u + uv + vw + -3w = z(-1 + v) * foru Reorder the terms for easier multiplication: 2u + uv + vw + -3w = z * foru(-1 + v) Multiply z * foru 2u + uv + vw + -3w = foruz(-1 + v) 2u + uv + vw + -3w = (-1 * foruz + v * foruz) Reorder the terms: 2u + uv + vw + -3w = (foruvz + -1foruz) 2u + uv + vw + -3w = (foruvz + -1foruz) Solving 2u + uv + vw + -3w = foruvz + -1foruz Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-1foruvz' to each side of the equation. 2u + uv + vw + -1foruvz + -3w = foruvz + -1foruvz + -1foruz Reorder the terms: -1foruvz + 2u + uv + vw + -3w = foruvz + -1foruvz + -1foruz Combine like terms: foruvz + -1foruvz = 0 -1foruvz + 2u + uv + vw + -3w = 0 + -1foruz -1foruvz + 2u + uv + vw + -3w = -1foruz Add 'foruz' to each side of the equation. -1foruvz + 2u + uv + vw + foruz + -3w = -1foruz + foruz Reorder the terms: -1foruvz + foruz + 2u + uv + vw + -3w = -1foruz + foruz Combine like terms: -1foruz + foruz = 0 -1foruvz + foruz + 2u + uv + vw + -3w = 0 Add '-1vw' to each side of the equation. -1foruvz + foruz + 2u + uv + vw + -1vw + -3w = 0 + -1vw Combine like terms: vw + -1vw = 0 -1foruvz + foruz + 2u + uv + 0 + -3w = 0 + -1vw -1foruvz + foruz + 2u + uv + -3w = 0 + -1vw Remove the zero: -1foruvz + foruz + 2u + uv + -3w = -1vw Add '3w' to each side of the equation. -1foruvz + foruz + 2u + uv + -3w + 3w = -1vw + 3w Combine like terms: -3w + 3w = 0 -1foruvz + foruz + 2u + uv + 0 = -1vw + 3w -1foruvz + foruz + 2u + uv = -1vw + 3w Reorder the terms: -1foruvz + foruz + 2u + uv + vw + -3w = -1vw + vw + 3w + -3w Combine like terms: -1vw + vw = 0 -1foruvz + foruz + 2u + uv + vw + -3w = 0 + 3w + -3w -1foruvz + foruz + 2u + uv + vw + -3w = 3w + -3w Combine like terms: 3w + -3w = 0 -1foruvz + foruz + 2u + uv + vw + -3w = 0 The solution to this equation could not be determined.
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