-4v+22=2-8(v-4)

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Solution for -4v+22=2-8(v-4) equation:


Simplifying
-4v + 22 = 2 + -8(v + -4)

Reorder the terms:
22 + -4v = 2 + -8(v + -4)

Reorder the terms:
22 + -4v = 2 + -8(-4 + v)
22 + -4v = 2 + (-4 * -8 + v * -8)
22 + -4v = 2 + (32 + -8v)

Combine like terms: 2 + 32 = 34
22 + -4v = 34 + -8v

Solving
22 + -4v = 34 + -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.
22 + -4v + 8v = 34 + -8v + 8v

Combine like terms: -4v + 8v = 4v
22 + 4v = 34 + -8v + 8v

Combine like terms: -8v + 8v = 0
22 + 4v = 34 + 0
22 + 4v = 34

Add '-22' to each side of the equation.
22 + -22 + 4v = 34 + -22

Combine like terms: 22 + -22 = 0
0 + 4v = 34 + -22
4v = 34 + -22

Combine like terms: 34 + -22 = 12
4v = 12

Divide each side by '4'.
v = 3

Simplifying
v = 3

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