7v-3(v-8)=8(v-7)-8

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Solution for 7v-3(v-8)=8(v-7)-8 equation:


Simplifying
7v + -3(v + -8) = 8(v + -7) + -8

Reorder the terms:
7v + -3(-8 + v) = 8(v + -7) + -8
7v + (-8 * -3 + v * -3) = 8(v + -7) + -8
7v + (24 + -3v) = 8(v + -7) + -8

Reorder the terms:
24 + 7v + -3v = 8(v + -7) + -8

Combine like terms: 7v + -3v = 4v
24 + 4v = 8(v + -7) + -8

Reorder the terms:
24 + 4v = 8(-7 + v) + -8
24 + 4v = (-7 * 8 + v * 8) + -8
24 + 4v = (-56 + 8v) + -8

Reorder the terms:
24 + 4v = -56 + -8 + 8v

Combine like terms: -56 + -8 = -64
24 + 4v = -64 + 8v

Solving
24 + 4v = -64 + 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.
24 + 4v + -8v = -64 + 8v + -8v

Combine like terms: 4v + -8v = -4v
24 + -4v = -64 + 8v + -8v

Combine like terms: 8v + -8v = 0
24 + -4v = -64 + 0
24 + -4v = -64

Add '-24' to each side of the equation.
24 + -24 + -4v = -64 + -24

Combine like terms: 24 + -24 = 0
0 + -4v = -64 + -24
-4v = -64 + -24

Combine like terms: -64 + -24 = -88
-4v = -88

Divide each side by '-4'.
v = 22

Simplifying
v = 22

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