9v+6u=(v+16)+(u+45)

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Solution for 9v+6u=(v+16)+(u+45) equation: 


Simplifying
9v + 6u = (v + 16) + (u + 45)

Reorder the terms:
6u + 9v = (v + 16) + (u + 45)

Reorder the terms:
6u + 9v = (16 + v) + (u + 45)

Remove parenthesis around (16 + v)
6u + 9v = 16 + v + (u + 45)

Reorder the terms:
6u + 9v = 16 + v + (45 + u)

Remove parenthesis around (45 + u)
6u + 9v = 16 + v + 45 + u

Reorder the terms:
6u + 9v = 16 + 45 + u + v

Combine like terms: 16 + 45 = 61
6u + 9v = 61 + u + v

Solving
6u + 9v = 61 + u + v

Solving for variable 'u'.

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

Add '-1u' to each side of the equation.
6u + -1u + 9v = 61 + u + -1u + v

Combine like terms: 6u + -1u = 5u
5u + 9v = 61 + u + -1u + v

Combine like terms: u + -1u = 0
5u + 9v = 61 + 0 + v
5u + 9v = 61 + v

Add '-9v' to each side of the equation.
5u + 9v + -9v = 61 + v + -9v

Combine like terms: 9v + -9v = 0
5u + 0 = 61 + v + -9v
5u = 61 + v + -9v

Combine like terms: v + -9v = -8v
5u = 61 + -8v

Divide each side by '5'.
u = 12.2 + -1.6v

Simplifying
u = 12.2 + -1.6v

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