2v-5=9v+16

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Solution for 2v-5=9v+16 equation:


Simplifying
2v + -5 = 9v + 16

Reorder the terms:
-5 + 2v = 9v + 16

Reorder the terms:
-5 + 2v = 16 + 9v

Solving
-5 + 2v = 16 + 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.
-5 + 2v + -9v = 16 + 9v + -9v

Combine like terms: 2v + -9v = -7v
-5 + -7v = 16 + 9v + -9v

Combine like terms: 9v + -9v = 0
-5 + -7v = 16 + 0
-5 + -7v = 16

Add '5' to each side of the equation.
-5 + 5 + -7v = 16 + 5

Combine like terms: -5 + 5 = 0
0 + -7v = 16 + 5
-7v = 16 + 5

Combine like terms: 16 + 5 = 21
-7v = 21

Divide each side by '-7'.
v = -3

Simplifying
v = -3

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