3v+2=8(v+4)

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Solution for 3v+2=8(v+4) equation:


Simplifying
3v + 2 = 8(v + 4)

Reorder the terms:
2 + 3v = 8(v + 4)

Reorder the terms:
2 + 3v = 8(4 + v)
2 + 3v = (4 * 8 + v * 8)
2 + 3v = (32 + 8v)

Solving
2 + 3v = 32 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
2 + 3v + -8v = 32 + 8v + -8v

Combine like terms: 3v + -8v = -5v
2 + -5v = 32 + 8v + -8v

Combine like terms: 8v + -8v = 0
2 + -5v = 32 + 0
2 + -5v = 32

Add '-2' to each side of the equation.
2 + -2 + -5v = 32 + -2

Combine like terms: 2 + -2 = 0
0 + -5v = 32 + -2
-5v = 32 + -2

Combine like terms: 32 + -2 = 30
-5v = 30

Divide each side by '-5'.
v = -6

Simplifying
v = -6

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