3(3v+2w)+3(4v-3W)=

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Solution for 3(3v+2w)+3(4v-3W)= equation: 


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

Reorder the terms:
9v + 6w + 3(-3W + 4v) = 0
9v + 6w + (-3W * 3 + 4v * 3) = 0
9v + 6w + (-9W + 12v) = 0

Reorder the terms:
-9W + 9v + 12v + 6w = 0

Combine like terms: 9v + 12v = 21v
-9W + 21v + 6w = 0

Solving
-9W + 21v + 6w = 0

Solving for variable 'W'.

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

Add '-21v' to each side of the equation.
-9W + 21v + -21v + 6w = 0 + -21v

Combine like terms: 21v + -21v = 0
-9W + 0 + 6w = 0 + -21v
-9W + 6w = 0 + -21v
Remove the zero:
-9W + 6w = -21v

Add '-6w' to each side of the equation.
-9W + 6w + -6w = -21v + -6w

Combine like terms: 6w + -6w = 0
-9W + 0 = -21v + -6w
-9W = -21v + -6w

Divide each side by '-9'.
W = 2.333333333v + 0.6666666667w

Simplifying
W = 2.333333333v + 0.6666666667w

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