(8u-9v+5w)-6(-8u+2v-9w)=

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Solution for (8u-9v+5w)-6(-8u+2v-9w)= equation:


Simplifying
(8u + -9v + 5w) + -6(-8u + 2v + -9w) = 0

Remove parenthesis around (8u + -9v + 5w)
8u + -9v + 5w + -6(-8u + 2v + -9w) = 0
8u + -9v + 5w + (-8u * -6 + 2v * -6 + -9w * -6) = 0
8u + -9v + 5w + (48u + -12v + 54w) = 0

Reorder the terms:
8u + 48u + -9v + -12v + 5w + 54w = 0

Combine like terms: 8u + 48u = 56u
56u + -9v + -12v + 5w + 54w = 0

Combine like terms: -9v + -12v = -21v
56u + -21v + 5w + 54w = 0

Combine like terms: 5w + 54w = 59w
56u + -21v + 59w = 0

Solving
56u + -21v + 59w = 0

Solving for variable 'u'.

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

Add '21v' to each side of the equation.
56u + -21v + 21v + 59w = 0 + 21v

Combine like terms: -21v + 21v = 0
56u + 0 + 59w = 0 + 21v
56u + 59w = 0 + 21v
Remove the zero:
56u + 59w = 21v

Add '-59w' to each side of the equation.
56u + 59w + -59w = 21v + -59w

Combine like terms: 59w + -59w = 0
56u + 0 = 21v + -59w
56u = 21v + -59w

Divide each side by '56'.
u = 0.375v + -1.053571429w

Simplifying
u = 0.375v + -1.053571429w

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