9(v+1)-3w=2(3v+1)-8

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Solution for 9(v+1)-3w=2(3v+1)-8 equation:


Simplifying
9(v + 1) + -3w = 2(3v + 1) + -8

Reorder the terms:
9(1 + v) + -3w = 2(3v + 1) + -8
(1 * 9 + v * 9) + -3w = 2(3v + 1) + -8
(9 + 9v) + -3w = 2(3v + 1) + -8

Reorder the terms:
9 + 9v + -3w = 2(1 + 3v) + -8
9 + 9v + -3w = (1 * 2 + 3v * 2) + -8
9 + 9v + -3w = (2 + 6v) + -8

Reorder the terms:
9 + 9v + -3w = 2 + -8 + 6v

Combine like terms: 2 + -8 = -6
9 + 9v + -3w = -6 + 6v

Solving
9 + 9v + -3w = -6 + 6v

Solving for variable 'v'.

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

Add '-6v' to each side of the equation.
9 + 9v + -6v + -3w = -6 + 6v + -6v

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

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

Add '-9' to each side of the equation.
9 + 3v + -9 + -3w = -6 + -9

Reorder the terms:
9 + -9 + 3v + -3w = -6 + -9

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

Combine like terms: -6 + -9 = -15
3v + -3w = -15

Add '3w' to each side of the equation.
3v + -3w + 3w = -15 + 3w

Combine like terms: -3w + 3w = 0
3v + 0 = -15 + 3w
3v = -15 + 3w

Divide each side by '3'.
v = -5 + w

Simplifying
v = -5 + w

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