16(v+2)-4v=(3v+3)-21

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Solution for 16(v+2)-4v=(3v+3)-21 equation:


Simplifying
16(v + 2) + -4v = (3v + 3) + -21

Reorder the terms:
16(2 + v) + -4v = (3v + 3) + -21
(2 * 16 + v * 16) + -4v = (3v + 3) + -21
(32 + 16v) + -4v = (3v + 3) + -21

Combine like terms: 16v + -4v = 12v
32 + 12v = (3v + 3) + -21

Reorder the terms:
32 + 12v = (3 + 3v) + -21

Remove parenthesis around (3 + 3v)
32 + 12v = 3 + 3v + -21

Reorder the terms:
32 + 12v = 3 + -21 + 3v

Combine like terms: 3 + -21 = -18
32 + 12v = -18 + 3v

Solving
32 + 12v = -18 + 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.
32 + 12v + -3v = -18 + 3v + -3v

Combine like terms: 12v + -3v = 9v
32 + 9v = -18 + 3v + -3v

Combine like terms: 3v + -3v = 0
32 + 9v = -18 + 0
32 + 9v = -18

Add '-32' to each side of the equation.
32 + -32 + 9v = -18 + -32

Combine like terms: 32 + -32 = 0
0 + 9v = -18 + -32
9v = -18 + -32

Combine like terms: -18 + -32 = -50
9v = -50

Divide each side by '9'.
v = -5.555555556

Simplifying
v = -5.555555556

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