5(v+3)-8v=33

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Solution for 5(v+3)-8v=33 equation: 


Simplifying
5(v + 3) + -8v = 33

Reorder the terms:
5(3 + v) + -8v = 33
(3 * 5 + v * 5) + -8v = 33
(15 + 5v) + -8v = 33

Combine like terms: 5v + -8v = -3v
15 + -3v = 33

Solving
15 + -3v = 33

Solving for variable 'v'.

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

Add '-15' to each side of the equation.
15 + -15 + -3v = 33 + -15

Combine like terms: 15 + -15 = 0
0 + -3v = 33 + -15
-3v = 33 + -15

Combine like terms: 33 + -15 = 18
-3v = 18

Divide each side by '-3'.
v = -6

Simplifying
v = -6

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