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

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


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

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

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

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

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

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

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

Solving
10 + 3v = -4 + 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.
10 + 3v + -5v = -4 + 5v + -5v

Combine like terms: 3v + -5v = -2v
10 + -2v = -4 + 5v + -5v

Combine like terms: 5v + -5v = 0
10 + -2v = -4 + 0
10 + -2v = -4

Add '-10' to each side of the equation.
10 + -10 + -2v = -4 + -10

Combine like terms: 10 + -10 = 0
0 + -2v = -4 + -10
-2v = -4 + -10

Combine like terms: -4 + -10 = -14
-2v = -14

Divide each side by '-2'.
v = 7

Simplifying
v = 7

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