5u-8v+9(2u-3v)-4(2v-5u)=

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Solution for 5u-8v+9(2u-3v)-4(2v-5u)= equation: 


Simplifying
5u + -8v + 9(2u + -3v) + -4(2v + -5u) = 0
5u + -8v + (2u * 9 + -3v * 9) + -4(2v + -5u) = 0
5u + -8v + (18u + -27v) + -4(2v + -5u) = 0

Reorder the terms:
5u + -8v + 18u + -27v + -4(-5u + 2v) = 0
5u + -8v + 18u + -27v + (-5u * -4 + 2v * -4) = 0
5u + -8v + 18u + -27v + (20u + -8v) = 0

Reorder the terms:
5u + 18u + 20u + -8v + -27v + -8v = 0

Combine like terms: 5u + 18u = 23u
23u + 20u + -8v + -27v + -8v = 0

Combine like terms: 23u + 20u = 43u
43u + -8v + -27v + -8v = 0

Combine like terms: -8v + -27v = -35v
43u + -35v + -8v = 0

Combine like terms: -35v + -8v = -43v
43u + -43v = 0

Solving
43u + -43v = 0

Solving for variable 'u'.

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

Add '43v' to each side of the equation.
43u + -43v + 43v = 0 + 43v

Combine like terms: -43v + 43v = 0
43u + 0 = 0 + 43v
43u = 0 + 43v
Remove the zero:
43u = 43v

Divide each side by '43'.
u = v

Simplifying
u = v

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