(4v-9)+(4v-9)+v=180

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Solution for (4v-9)+(4v-9)+v=180 equation:


Simplifying
(4v + -9) + (4v + -9) + v = 180

Reorder the terms:
(-9 + 4v) + (4v + -9) + v = 180

Remove parenthesis around (-9 + 4v)
-9 + 4v + (4v + -9) + v = 180

Reorder the terms:
-9 + 4v + (-9 + 4v) + v = 180

Remove parenthesis around (-9 + 4v)
-9 + 4v + -9 + 4v + v = 180

Reorder the terms:
-9 + -9 + 4v + 4v + v = 180

Combine like terms: -9 + -9 = -18
-18 + 4v + 4v + v = 180

Combine like terms: 4v + 4v = 8v
-18 + 8v + v = 180

Combine like terms: 8v + v = 9v
-18 + 9v = 180

Solving
-18 + 9v = 180

Solving for variable 'v'.

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

Add '18' to each side of the equation.
-18 + 18 + 9v = 180 + 18

Combine like terms: -18 + 18 = 0
0 + 9v = 180 + 18
9v = 180 + 18

Combine like terms: 180 + 18 = 198
9v = 198

Divide each side by '9'.
v = 22

Simplifying
v = 22

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