-7(v+2)+4v+7=6v+8

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Solution for -7(v+2)+4v+7=6v+8 equation: 


Simplifying
-7(v + 2) + 4v + 7 = 6v + 8

Reorder the terms:
-7(2 + v) + 4v + 7 = 6v + 8
(2 * -7 + v * -7) + 4v + 7 = 6v + 8
(-14 + -7v) + 4v + 7 = 6v + 8

Reorder the terms:
-14 + 7 + -7v + 4v = 6v + 8

Combine like terms: -14 + 7 = -7
-7 + -7v + 4v = 6v + 8

Combine like terms: -7v + 4v = -3v
-7 + -3v = 6v + 8

Reorder the terms:
-7 + -3v = 8 + 6v

Solving
-7 + -3v = 8 + 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.
-7 + -3v + -6v = 8 + 6v + -6v

Combine like terms: -3v + -6v = -9v
-7 + -9v = 8 + 6v + -6v

Combine like terms: 6v + -6v = 0
-7 + -9v = 8 + 0
-7 + -9v = 8

Add '7' to each side of the equation.
-7 + 7 + -9v = 8 + 7

Combine like terms: -7 + 7 = 0
0 + -9v = 8 + 7
-9v = 8 + 7

Combine like terms: 8 + 7 = 15
-9v = 15

Divide each side by '-9'.
v = -1.666666667

Simplifying
v = -1.666666667

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