5v+6=16v-3v+54

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Solution for 5v+6=16v-3v+54 equation:


Simplifying
5v + 6 = 16v + -3v + 54

Reorder the terms:
6 + 5v = 16v + -3v + 54

Reorder the terms:
6 + 5v = 54 + 16v + -3v

Combine like terms: 16v + -3v = 13v
6 + 5v = 54 + 13v

Solving
6 + 5v = 54 + 13v

Solving for variable 'v'.

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

Add '-13v' to each side of the equation.
6 + 5v + -13v = 54 + 13v + -13v

Combine like terms: 5v + -13v = -8v
6 + -8v = 54 + 13v + -13v

Combine like terms: 13v + -13v = 0
6 + -8v = 54 + 0
6 + -8v = 54

Add '-6' to each side of the equation.
6 + -6 + -8v = 54 + -6

Combine like terms: 6 + -6 = 0
0 + -8v = 54 + -6
-8v = 54 + -6

Combine like terms: 54 + -6 = 48
-8v = 48

Divide each side by '-8'.
v = -6

Simplifying
v = -6

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