-7(v+3)+3v+5=8v+8

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Solution for -7(v+3)+3v+5=8v+8 equation: 


Simplifying
-7(v + 3) + 3v + 5 = 8v + 8

Reorder the terms:
-7(3 + v) + 3v + 5 = 8v + 8
(3 * -7 + v * -7) + 3v + 5 = 8v + 8
(-21 + -7v) + 3v + 5 = 8v + 8

Reorder the terms:
-21 + 5 + -7v + 3v = 8v + 8

Combine like terms: -21 + 5 = -16
-16 + -7v + 3v = 8v + 8

Combine like terms: -7v + 3v = -4v
-16 + -4v = 8v + 8

Reorder the terms:
-16 + -4v = 8 + 8v

Solving
-16 + -4v = 8 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
-16 + -4v + -8v = 8 + 8v + -8v

Combine like terms: -4v + -8v = -12v
-16 + -12v = 8 + 8v + -8v

Combine like terms: 8v + -8v = 0
-16 + -12v = 8 + 0
-16 + -12v = 8

Add '16' to each side of the equation.
-16 + 16 + -12v = 8 + 16

Combine like terms: -16 + 16 = 0
0 + -12v = 8 + 16
-12v = 8 + 16

Combine like terms: 8 + 16 = 24
-12v = 24

Divide each side by '-12'.
v = -2

Simplifying
v = -2

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