-33+4v=8-3(7-3v)

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Solution for -33+4v=8-3(7-3v) equation:


Simplifying
-33 + 4v = 8 + -3(7 + -3v)
-33 + 4v = 8 + (7 * -3 + -3v * -3)
-33 + 4v = 8 + (-21 + 9v)

Combine like terms: 8 + -21 = -13
-33 + 4v = -13 + 9v

Solving
-33 + 4v = -13 + 9v

Solving for variable 'v'.

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

Add '-9v' to each side of the equation.
-33 + 4v + -9v = -13 + 9v + -9v

Combine like terms: 4v + -9v = -5v
-33 + -5v = -13 + 9v + -9v

Combine like terms: 9v + -9v = 0
-33 + -5v = -13 + 0
-33 + -5v = -13

Add '33' to each side of the equation.
-33 + 33 + -5v = -13 + 33

Combine like terms: -33 + 33 = 0
0 + -5v = -13 + 33
-5v = -13 + 33

Combine like terms: -13 + 33 = 20
-5v = 20

Divide each side by '-5'.
v = -4

Simplifying
v = -4

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