32=6v-(2v+8)

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Solution for 32=6v-(2v+8) equation:


Simplifying
32 = 6v + -1(2v + 8)

Reorder the terms:
32 = 6v + -1(8 + 2v)
32 = 6v + (8 * -1 + 2v * -1)
32 = 6v + (-8 + -2v)

Reorder the terms:
32 = -8 + 6v + -2v

Combine like terms: 6v + -2v = 4v
32 = -8 + 4v

Solving
32 = -8 + 4v

Solving for variable 'v'.

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

Add '-4v' to each side of the equation.
32 + -4v = -8 + 4v + -4v

Combine like terms: 4v + -4v = 0
32 + -4v = -8 + 0
32 + -4v = -8

Add '-32' to each side of the equation.
32 + -32 + -4v = -8 + -32

Combine like terms: 32 + -32 = 0
0 + -4v = -8 + -32
-4v = -8 + -32

Combine like terms: -8 + -32 = -40
-4v = -40

Divide each side by '-4'.
v = 10

Simplifying
v = 10

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