-7(v+3)+2v+7=6v+10

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Solution for -7(v+3)+2v+7=6v+10 equation: 


Simplifying
-7(v + 3) + 2v + 7 = 6v + 10

Reorder the terms:
-7(3 + v) + 2v + 7 = 6v + 10
(3 * -7 + v * -7) + 2v + 7 = 6v + 10
(-21 + -7v) + 2v + 7 = 6v + 10

Reorder the terms:
-21 + 7 + -7v + 2v = 6v + 10

Combine like terms: -21 + 7 = -14
-14 + -7v + 2v = 6v + 10

Combine like terms: -7v + 2v = -5v
-14 + -5v = 6v + 10

Reorder the terms:
-14 + -5v = 10 + 6v

Solving
-14 + -5v = 10 + 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.
-14 + -5v + -6v = 10 + 6v + -6v

Combine like terms: -5v + -6v = -11v
-14 + -11v = 10 + 6v + -6v

Combine like terms: 6v + -6v = 0
-14 + -11v = 10 + 0
-14 + -11v = 10

Add '14' to each side of the equation.
-14 + 14 + -11v = 10 + 14

Combine like terms: -14 + 14 = 0
0 + -11v = 10 + 14
-11v = 10 + 14

Combine like terms: 10 + 14 = 24
-11v = 24

Divide each side by '-11'.
v = -2.181818182

Simplifying
v = -2.181818182

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