(6u-7v+6w)-6(-6u+3v-7w)=

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Solution for (6u-7v+6w)-6(-6u+3v-7w)= equation: 


Simplifying
(6u + -7v + 6w) + -6(-6u + 3v + -7w) = 0

Remove parenthesis around (6u + -7v + 6w)
6u + -7v + 6w + -6(-6u + 3v + -7w) = 0
6u + -7v + 6w + (-6u * -6 + 3v * -6 + -7w * -6) = 0
6u + -7v + 6w + (36u + -18v + 42w) = 0

Reorder the terms:
6u + 36u + -7v + -18v + 6w + 42w = 0

Combine like terms: 6u + 36u = 42u
42u + -7v + -18v + 6w + 42w = 0

Combine like terms: -7v + -18v = -25v
42u + -25v + 6w + 42w = 0

Combine like terms: 6w + 42w = 48w
42u + -25v + 48w = 0

Solving
42u + -25v + 48w = 0

Solving for variable 'u'.

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

Add '25v' to each side of the equation.
42u + -25v + 25v + 48w = 0 + 25v

Combine like terms: -25v + 25v = 0
42u + 0 + 48w = 0 + 25v
42u + 48w = 0 + 25v
Remove the zero:
42u + 48w = 25v

Add '-48w' to each side of the equation.
42u + 48w + -48w = 25v + -48w

Combine like terms: 48w + -48w = 0
42u + 0 = 25v + -48w
42u = 25v + -48w

Divide each side by '42'.
u = 0.5952380952v + -1.142857143w

Simplifying
u = 0.5952380952v + -1.142857143w

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