32+2v=4(1+2v)+v

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Solution for 32+2v=4(1+2v)+v equation:


Simplifying
32 + 2v = 4(1 + 2v) + v
32 + 2v = (1 * 4 + 2v * 4) + v
32 + 2v = (4 + 8v) + v

Combine like terms: 8v + v = 9v
32 + 2v = 4 + 9v

Solving
32 + 2v = 4 + 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.
32 + 2v + -9v = 4 + 9v + -9v

Combine like terms: 2v + -9v = -7v
32 + -7v = 4 + 9v + -9v

Combine like terms: 9v + -9v = 0
32 + -7v = 4 + 0
32 + -7v = 4

Add '-32' to each side of the equation.
32 + -32 + -7v = 4 + -32

Combine like terms: 32 + -32 = 0
0 + -7v = 4 + -32
-7v = 4 + -32

Combine like terms: 4 + -32 = -28
-7v = -28

Divide each side by '-7'.
v = 4

Simplifying
v = 4

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