3(v+2)+4=5(v-1)+v

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Solution for 3(v+2)+4=5(v-1)+v equation: 


Simplifying
3(v + 2) + 4 = 5(v + -1) + v

Reorder the terms:
3(2 + v) + 4 = 5(v + -1) + v
(2 * 3 + v * 3) + 4 = 5(v + -1) + v
(6 + 3v) + 4 = 5(v + -1) + v

Reorder the terms:
6 + 4 + 3v = 5(v + -1) + v

Combine like terms: 6 + 4 = 10
10 + 3v = 5(v + -1) + v

Reorder the terms:
10 + 3v = 5(-1 + v) + v
10 + 3v = (-1 * 5 + v * 5) + v
10 + 3v = (-5 + 5v) + v

Combine like terms: 5v + v = 6v
10 + 3v = -5 + 6v

Solving
10 + 3v = -5 + 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.
10 + 3v + -6v = -5 + 6v + -6v

Combine like terms: 3v + -6v = -3v
10 + -3v = -5 + 6v + -6v

Combine like terms: 6v + -6v = 0
10 + -3v = -5 + 0
10 + -3v = -5

Add '-10' to each side of the equation.
10 + -10 + -3v = -5 + -10

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

Combine like terms: -5 + -10 = -15
-3v = -15

Divide each side by '-3'.
v = 5

Simplifying
v = 5

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