4(v-2)=8v+4-2(-7v-1)

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Solution for 4(v-2)=8v+4-2(-7v-1) equation:


Simplifying
4(v + -2) = 8v + 4 + -2(-7v + -1)

Reorder the terms:
4(-2 + v) = 8v + 4 + -2(-7v + -1)
(-2 * 4 + v * 4) = 8v + 4 + -2(-7v + -1)
(-8 + 4v) = 8v + 4 + -2(-7v + -1)

Reorder the terms:
-8 + 4v = 8v + 4 + -2(-1 + -7v)
-8 + 4v = 8v + 4 + (-1 * -2 + -7v * -2)
-8 + 4v = 8v + 4 + (2 + 14v)

Reorder the terms:
-8 + 4v = 4 + 2 + 8v + 14v

Combine like terms: 4 + 2 = 6
-8 + 4v = 6 + 8v + 14v

Combine like terms: 8v + 14v = 22v
-8 + 4v = 6 + 22v

Solving
-8 + 4v = 6 + 22v

Solving for variable 'v'.

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

Add '-22v' to each side of the equation.
-8 + 4v + -22v = 6 + 22v + -22v

Combine like terms: 4v + -22v = -18v
-8 + -18v = 6 + 22v + -22v

Combine like terms: 22v + -22v = 0
-8 + -18v = 6 + 0
-8 + -18v = 6

Add '8' to each side of the equation.
-8 + 8 + -18v = 6 + 8

Combine like terms: -8 + 8 = 0
0 + -18v = 6 + 8
-18v = 6 + 8

Combine like terms: 6 + 8 = 14
-18v = 14

Divide each side by '-18'.
v = -0.7777777778

Simplifying
v = -0.7777777778

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