6(v+3)+2v+6=5v+10

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Solution for 6(v+3)+2v+6=5v+10 equation: 


Simplifying
6(v + 3) + 2v + 6 = 5v + 10

Reorder the terms:
6(3 + v) + 2v + 6 = 5v + 10
(3 * 6 + v * 6) + 2v + 6 = 5v + 10
(18 + 6v) + 2v + 6 = 5v + 10

Reorder the terms:
18 + 6 + 6v + 2v = 5v + 10

Combine like terms: 18 + 6 = 24
24 + 6v + 2v = 5v + 10

Combine like terms: 6v + 2v = 8v
24 + 8v = 5v + 10

Reorder the terms:
24 + 8v = 10 + 5v

Solving
24 + 8v = 10 + 5v

Solving for variable 'v'.

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

Add '-5v' to each side of the equation.
24 + 8v + -5v = 10 + 5v + -5v

Combine like terms: 8v + -5v = 3v
24 + 3v = 10 + 5v + -5v

Combine like terms: 5v + -5v = 0
24 + 3v = 10 + 0
24 + 3v = 10

Add '-24' to each side of the equation.
24 + -24 + 3v = 10 + -24

Combine like terms: 24 + -24 = 0
0 + 3v = 10 + -24
3v = 10 + -24

Combine like terms: 10 + -24 = -14
3v = -14

Divide each side by '3'.
v = -4.666666667

Simplifying
v = -4.666666667

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