(3v-2)-(5-v)=17

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Solution for (3v-2)-(5-v)=17 equation:


Simplifying
(3v + -2) + -1(5 + -1v) = 17

Reorder the terms:
(-2 + 3v) + -1(5 + -1v) = 17

Remove parenthesis around (-2 + 3v)
-2 + 3v + -1(5 + -1v) = 17
-2 + 3v + (5 * -1 + -1v * -1) = 17
-2 + 3v + (-5 + 1v) = 17

Reorder the terms:
-2 + -5 + 3v + 1v = 17

Combine like terms: -2 + -5 = -7
-7 + 3v + 1v = 17

Combine like terms: 3v + 1v = 4v
-7 + 4v = 17

Solving
-7 + 4v = 17

Solving for variable 'v'.

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

Add '7' to each side of the equation.
-7 + 7 + 4v = 17 + 7

Combine like terms: -7 + 7 = 0
0 + 4v = 17 + 7
4v = 17 + 7

Combine like terms: 17 + 7 = 24
4v = 24

Divide each side by '4'.
v = 6

Simplifying
v = 6

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