T(u+3v)=w-5u

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


Simplifying
T(u + 3v) = w + -5u
(u * T + 3v * T) = w + -5u
(uT + 3vT) = w + -5u

Reorder the terms:
uT + 3vT = -5u + w

Solving
uT + 3vT = -5u + w

Solving for variable 'u'.

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

Add '5u' to each side of the equation.
uT + 5u + 3vT = -5u + 5u + w

Reorder the terms:
5u + uT + 3vT = -5u + 5u + w

Combine like terms: -5u + 5u = 0
5u + uT + 3vT = 0 + w
5u + uT + 3vT = w

Add '-3vT' to each side of the equation.
5u + uT + 3vT + -3vT = -3vT + w

Combine like terms: 3vT + -3vT = 0
5u + uT + 0 = -3vT + w
5u + uT = -3vT + w

Reorder the terms:
5u + uT + 3vT + -1w = -3vT + 3vT + w + -1w

Combine like terms: -3vT + 3vT = 0
5u + uT + 3vT + -1w = 0 + w + -1w
5u + uT + 3vT + -1w = w + -1w

Combine like terms: w + -1w = 0
5u + uT + 3vT + -1w = 0

The solution to this equation could not be determined.

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