(5u-6v+6w)-6(-5u+3v-6w)=

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Solution for (5u-6v+6w)-6(-5u+3v-6w)= equation:


Simplifying
(5u + -6v + 6w) + -6(-5u + 3v + -6w) = 0

Remove parenthesis around (5u + -6v + 6w)
5u + -6v + 6w + -6(-5u + 3v + -6w) = 0
5u + -6v + 6w + (-5u * -6 + 3v * -6 + -6w * -6) = 0
5u + -6v + 6w + (30u + -18v + 36w) = 0

Reorder the terms:
5u + 30u + -6v + -18v + 6w + 36w = 0

Combine like terms: 5u + 30u = 35u
35u + -6v + -18v + 6w + 36w = 0

Combine like terms: -6v + -18v = -24v
35u + -24v + 6w + 36w = 0

Combine like terms: 6w + 36w = 42w
35u + -24v + 42w = 0

Solving
35u + -24v + 42w = 0

Solving for variable 'u'.

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

Add '24v' to each side of the equation.
35u + -24v + 24v + 42w = 0 + 24v

Combine like terms: -24v + 24v = 0
35u + 0 + 42w = 0 + 24v
35u + 42w = 0 + 24v
Remove the zero:
35u + 42w = 24v

Add '-42w' to each side of the equation.
35u + 42w + -42w = 24v + -42w

Combine like terms: 42w + -42w = 0
35u + 0 = 24v + -42w
35u = 24v + -42w

Divide each side by '35'.
u = 0.6857142857v + -1.2w

Simplifying
u = 0.6857142857v + -1.2w

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