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

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


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

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

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

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

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

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

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

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
-8 + -3v + -7v = 7 + 7v + -7v

Combine like terms: -3v + -7v = -10v
-8 + -10v = 7 + 7v + -7v

Combine like terms: 7v + -7v = 0
-8 + -10v = 7 + 0
-8 + -10v = 7

Add '8' to each side of the equation.
-8 + 8 + -10v = 7 + 8

Combine like terms: -8 + 8 = 0
0 + -10v = 7 + 8
-10v = 7 + 8

Combine like terms: 7 + 8 = 15
-10v = 15

Divide each side by '-10'.
v = -1.5

Simplifying
v = -1.5

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