6u+4v-5(6u-2v+4w)=

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Solution for 6u+4v-5(6u-2v+4w)= equation: 


Simplifying
6u + 4v + -5(6u + -2v + 4w) = 0
6u + 4v + (6u * -5 + -2v * -5 + 4w * -5) = 0
6u + 4v + (-30u + 10v + -20w) = 0

Reorder the terms:
6u + -30u + 4v + 10v + -20w = 0

Combine like terms: 6u + -30u = -24u
-24u + 4v + 10v + -20w = 0

Combine like terms: 4v + 10v = 14v
-24u + 14v + -20w = 0

Solving
-24u + 14v + -20w = 0

Solving for variable 'u'.

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

Add '-14v' to each side of the equation.
-24u + 14v + -14v + -20w = 0 + -14v

Combine like terms: 14v + -14v = 0
-24u + 0 + -20w = 0 + -14v
-24u + -20w = 0 + -14v
Remove the zero:
-24u + -20w = -14v

Add '20w' to each side of the equation.
-24u + -20w + 20w = -14v + 20w

Combine like terms: -20w + 20w = 0
-24u + 0 = -14v + 20w
-24u = -14v + 20w

Divide each side by '-24'.
u = 0.5833333333v + -0.8333333333w

Simplifying
u = 0.5833333333v + -0.8333333333w

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