2v+4(v+2)=38

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Solution for 2v+4(v+2)=38 equation:


Simplifying
2v + 4(v + 2) = 38

Reorder the terms:
2v + 4(2 + v) = 38
2v + (2 * 4 + v * 4) = 38
2v + (8 + 4v) = 38

Reorder the terms:
8 + 2v + 4v = 38

Combine like terms: 2v + 4v = 6v
8 + 6v = 38

Solving
8 + 6v = 38

Solving for variable 'v'.

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

Add '-8' to each side of the equation.
8 + -8 + 6v = 38 + -8

Combine like terms: 8 + -8 = 0
0 + 6v = 38 + -8
6v = 38 + -8

Combine like terms: 38 + -8 = 30
6v = 30

Divide each side by '6'.
v = 5

Simplifying
v = 5

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