=2(3v+2w)-3(3v+2w)

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Solution for =2(3v+2w)-3(3v+2w) equation: 


Simplifying
0 = 2(3v + 2w) + -3(3v + 2w)
0 = (3v * 2 + 2w * 2) + -3(3v + 2w)
0 = (6v + 4w) + -3(3v + 2w)
0 = 6v + 4w + (3v * -3 + 2w * -3)
0 = 6v + 4w + (-9v + -6w)

Reorder the terms:
0 = 6v + -9v + 4w + -6w

Combine like terms: 6v + -9v = -3v
0 = -3v + 4w + -6w

Combine like terms: 4w + -6w = -2w
0 = -3v + -2w

Solving
0 = -3v + -2w

Solving for variable 'v'.

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

Add '3v' to each side of the equation.
0 + 3v = -3v + 3v + -2w
Remove the zero:
3v = -3v + 3v + -2w

Combine like terms: -3v + 3v = 0
3v = 0 + -2w
3v = -2w

Divide each side by '3'.
v = -0.6666666667w

Simplifying
v = -0.6666666667w

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