22=6v+7(v-8)

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Solution for 22=6v+7(v-8) equation: 


Simplifying
22 = 6v + 7(v + -8)

Reorder the terms:
22 = 6v + 7(-8 + v)
22 = 6v + (-8 * 7 + v * 7)
22 = 6v + (-56 + 7v)

Reorder the terms:
22 = -56 + 6v + 7v

Combine like terms: 6v + 7v = 13v
22 = -56 + 13v

Solving
22 = -56 + 13v

Solving for variable 'v'.

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

Add '-13v' to each side of the equation.
22 + -13v = -56 + 13v + -13v

Combine like terms: 13v + -13v = 0
22 + -13v = -56 + 0
22 + -13v = -56

Add '-22' to each side of the equation.
22 + -22 + -13v = -56 + -22

Combine like terms: 22 + -22 = 0
0 + -13v = -56 + -22
-13v = -56 + -22

Combine like terms: -56 + -22 = -78
-13v = -78

Divide each side by '-13'.
v = 6

Simplifying
v = 6

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