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

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


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

Reorder the terms:
5(2 + v) + v = 3(v + -1) + 1
(2 * 5 + v * 5) + v = 3(v + -1) + 1
(10 + 5v) + v = 3(v + -1) + 1

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

Reorder the terms:
10 + 6v = 3(-1 + v) + 1
10 + 6v = (-1 * 3 + v * 3) + 1
10 + 6v = (-3 + 3v) + 1

Reorder the terms:
10 + 6v = -3 + 1 + 3v

Combine like terms: -3 + 1 = -2
10 + 6v = -2 + 3v

Solving
10 + 6v = -2 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
10 + 6v + -3v = -2 + 3v + -3v

Combine like terms: 6v + -3v = 3v
10 + 3v = -2 + 3v + -3v

Combine like terms: 3v + -3v = 0
10 + 3v = -2 + 0
10 + 3v = -2

Add '-10' to each side of the equation.
10 + -10 + 3v = -2 + -10

Combine like terms: 10 + -10 = 0
0 + 3v = -2 + -10
3v = -2 + -10

Combine like terms: -2 + -10 = -12
3v = -12

Divide each side by '3'.
v = -4

Simplifying
v = -4

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