18(v+1)-2v=4(v+2)-11

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Solution for 18(v+1)-2v=4(v+2)-11 equation:


Simplifying
18(v + 1) + -2v = 4(v + 2) + -11

Reorder the terms:
18(1 + v) + -2v = 4(v + 2) + -11
(1 * 18 + v * 18) + -2v = 4(v + 2) + -11
(18 + 18v) + -2v = 4(v + 2) + -11

Combine like terms: 18v + -2v = 16v
18 + 16v = 4(v + 2) + -11

Reorder the terms:
18 + 16v = 4(2 + v) + -11
18 + 16v = (2 * 4 + v * 4) + -11
18 + 16v = (8 + 4v) + -11

Reorder the terms:
18 + 16v = 8 + -11 + 4v

Combine like terms: 8 + -11 = -3
18 + 16v = -3 + 4v

Solving
18 + 16v = -3 + 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.
18 + 16v + -4v = -3 + 4v + -4v

Combine like terms: 16v + -4v = 12v
18 + 12v = -3 + 4v + -4v

Combine like terms: 4v + -4v = 0
18 + 12v = -3 + 0
18 + 12v = -3

Add '-18' to each side of the equation.
18 + -18 + 12v = -3 + -18

Combine like terms: 18 + -18 = 0
0 + 12v = -3 + -18
12v = -3 + -18

Combine like terms: -3 + -18 = -21
12v = -21

Divide each side by '12'.
v = -1.75

Simplifying
v = -1.75

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