12.4u+(3.5v+3.6w-3.1u)+6.1w-(4.3u+5.5v-7.3w)=

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Solution for 12.4u+(3.5v+3.6w-3.1u)+6.1w-(4.3u+5.5v-7.3w)= equation:


Simplifying
12.4u + (3.5v + 3.6w + -3.1u) + 6.1w + -1(4.3u + 5.5v + -7.3w) = 0

Reorder the terms:
12.4u + (-3.1u + 3.5v + 3.6w) + 6.1w + -1(4.3u + 5.5v + -7.3w) = 0

Remove parenthesis around (-3.1u + 3.5v + 3.6w)
12.4u + -3.1u + 3.5v + 3.6w + 6.1w + -1(4.3u + 5.5v + -7.3w) = 0
12.4u + -3.1u + 3.5v + 3.6w + 6.1w + (4.3u * -1 + 5.5v * -1 + -7.3w * -1) = 0
12.4u + -3.1u + 3.5v + 3.6w + 6.1w + (-4.3u + -5.5v + 7.3w) = 0

Reorder the terms:
12.4u + -3.1u + -4.3u + 3.5v + -5.5v + 3.6w + 6.1w + 7.3w = 0

Combine like terms: 12.4u + -3.1u = 9.3u
9.3u + -4.3u + 3.5v + -5.5v + 3.6w + 6.1w + 7.3w = 0

Combine like terms: 9.3u + -4.3u = 5u
5u + 3.5v + -5.5v + 3.6w + 6.1w + 7.3w = 0

Combine like terms: 3.5v + -5.5v = -2v
5u + -2v + 3.6w + 6.1w + 7.3w = 0

Combine like terms: 3.6w + 6.1w = 9.7w
5u + -2v + 9.7w + 7.3w = 0

Combine like terms: 9.7w + 7.3w = 17w
5u + -2v + 17w = 0

Solving
5u + -2v + 17w = 0

Solving for variable 'u'.

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

Add '2v' to each side of the equation.
5u + -2v + 2v + 17w = 0 + 2v

Combine like terms: -2v + 2v = 0
5u + 0 + 17w = 0 + 2v
5u + 17w = 0 + 2v
Remove the zero:
5u + 17w = 2v

Add '-17w' to each side of the equation.
5u + 17w + -17w = 2v + -17w

Combine like terms: 17w + -17w = 0
5u + 0 = 2v + -17w
5u = 2v + -17w

Divide each side by '5'.
u = 0.4v + -3.4w

Simplifying
u = 0.4v + -3.4w

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