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

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Solution for 11(v+2)-3v=(4v+1)-5 equation: 


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

Reorder the terms:
11(2 + v) + -3v = (4v + 1) + -5
(2 * 11 + v * 11) + -3v = (4v + 1) + -5
(22 + 11v) + -3v = (4v + 1) + -5

Combine like terms: 11v + -3v = 8v
22 + 8v = (4v + 1) + -5

Reorder the terms:
22 + 8v = (1 + 4v) + -5

Remove parenthesis around (1 + 4v)
22 + 8v = 1 + 4v + -5

Reorder the terms:
22 + 8v = 1 + -5 + 4v

Combine like terms: 1 + -5 = -4
22 + 8v = -4 + 4v

Solving
22 + 8v = -4 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
22 + 8v + -4v = -4 + 4v + -4v

Combine like terms: 8v + -4v = 4v
22 + 4v = -4 + 4v + -4v

Combine like terms: 4v + -4v = 0
22 + 4v = -4 + 0
22 + 4v = -4

Add '-22' to each side of the equation.
22 + -22 + 4v = -4 + -22

Combine like terms: 22 + -22 = 0
0 + 4v = -4 + -22
4v = -4 + -22

Combine like terms: -4 + -22 = -26
4v = -26

Divide each side by '4'.
v = -6.5

Simplifying
v = -6.5

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