2(v-2)-17=13-3(v+2)

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Solution for 2(v-2)-17=13-3(v+2) equation: 


Simplifying
2(v + -2) + -17 = 13 + -3(v + 2)

Reorder the terms:
2(-2 + v) + -17 = 13 + -3(v + 2)
(-2 * 2 + v * 2) + -17 = 13 + -3(v + 2)
(-4 + 2v) + -17 = 13 + -3(v + 2)

Reorder the terms:
-4 + -17 + 2v = 13 + -3(v + 2)

Combine like terms: -4 + -17 = -21
-21 + 2v = 13 + -3(v + 2)

Reorder the terms:
-21 + 2v = 13 + -3(2 + v)
-21 + 2v = 13 + (2 * -3 + v * -3)
-21 + 2v = 13 + (-6 + -3v)

Combine like terms: 13 + -6 = 7
-21 + 2v = 7 + -3v

Solving
-21 + 2v = 7 + -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.
-21 + 2v + 3v = 7 + -3v + 3v

Combine like terms: 2v + 3v = 5v
-21 + 5v = 7 + -3v + 3v

Combine like terms: -3v + 3v = 0
-21 + 5v = 7 + 0
-21 + 5v = 7

Add '21' to each side of the equation.
-21 + 21 + 5v = 7 + 21

Combine like terms: -21 + 21 = 0
0 + 5v = 7 + 21
5v = 7 + 21

Combine like terms: 7 + 21 = 28
5v = 28

Divide each side by '5'.
v = 5.6

Simplifying
v = 5.6

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