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

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


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

Reorder the terms:
8(2 + v) + -1v = 3(v + -1) + 9
(2 * 8 + v * 8) + -1v = 3(v + -1) + 9
(16 + 8v) + -1v = 3(v + -1) + 9

Combine like terms: 8v + -1v = 7v
16 + 7v = 3(v + -1) + 9

Reorder the terms:
16 + 7v = 3(-1 + v) + 9
16 + 7v = (-1 * 3 + v * 3) + 9
16 + 7v = (-3 + 3v) + 9

Reorder the terms:
16 + 7v = -3 + 9 + 3v

Combine like terms: -3 + 9 = 6
16 + 7v = 6 + 3v

Solving
16 + 7v = 6 + 3v

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.
16 + 7v + -3v = 6 + 3v + -3v

Combine like terms: 7v + -3v = 4v
16 + 4v = 6 + 3v + -3v

Combine like terms: 3v + -3v = 0
16 + 4v = 6 + 0
16 + 4v = 6

Add '-16' to each side of the equation.
16 + -16 + 4v = 6 + -16

Combine like terms: 16 + -16 = 0
0 + 4v = 6 + -16
4v = 6 + -16

Combine like terms: 6 + -16 = -10
4v = -10

Divide each side by '4'.
v = -2.5

Simplifying
v = -2.5

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