u(v+5)+w(v-3)=2(v-1)

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Solution for u(v+5)+w(v-3)=2(v-1) equation: 


Simplifying
u(v + 5) + w(v + -3) = 2(v + -1)

Reorder the terms:
u(5 + v) + w(v + -3) = 2(v + -1)
(5 * u + v * u) + w(v + -3) = 2(v + -1)
(5u + uv) + w(v + -3) = 2(v + -1)

Reorder the terms:
5u + uv + w(-3 + v) = 2(v + -1)
5u + uv + (-3 * w + v * w) = 2(v + -1)

Reorder the terms:
5u + uv + (vw + -3w) = 2(v + -1)
5u + uv + (vw + -3w) = 2(v + -1)

Reorder the terms:
5u + uv + vw + -3w = 2(-1 + v)
5u + uv + vw + -3w = (-1 * 2 + v * 2)
5u + uv + vw + -3w = (-2 + 2v)

Solving
5u + uv + vw + -3w = -2 + 2v

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '-1vw' to each side of the equation.
5u + uv + vw + -1vw + -3w = -2 + 2v + -1vw

Combine like terms: vw + -1vw = 0
5u + uv + 0 + -3w = -2 + 2v + -1vw
5u + uv + -3w = -2 + 2v + -1vw

Add '3w' to each side of the equation.
5u + uv + -3w + 3w = -2 + 2v + -1vw + 3w

Combine like terms: -3w + 3w = 0
5u + uv + 0 = -2 + 2v + -1vw + 3w
5u + uv = -2 + 2v + -1vw + 3w

Reorder the terms:
2 + 5u + uv + -2v + vw + -3w = -2 + 2v + -1vw + 3w + 2 + -2v + vw + -3w

Reorder the terms:
2 + 5u + uv + -2v + vw + -3w = -2 + 2 + 2v + -2v + -1vw + vw + 3w + -3w

Combine like terms: -2 + 2 = 0
2 + 5u + uv + -2v + vw + -3w = 0 + 2v + -2v + -1vw + vw + 3w + -3w
2 + 5u + uv + -2v + vw + -3w = 2v + -2v + -1vw + vw + 3w + -3w

Combine like terms: 2v + -2v = 0
2 + 5u + uv + -2v + vw + -3w = 0 + -1vw + vw + 3w + -3w
2 + 5u + uv + -2v + vw + -3w = -1vw + vw + 3w + -3w

Combine like terms: -1vw + vw = 0
2 + 5u + uv + -2v + vw + -3w = 0 + 3w + -3w
2 + 5u + uv + -2v + vw + -3w = 3w + -3w

Combine like terms: 3w + -3w = 0
2 + 5u + uv + -2v + vw + -3w = 0

The solution to this equation could not be determined.

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