-4(v+1)+6v=(v+2)-8

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Solution for -4(v+1)+6v=(v+2)-8 equation:


Simplifying
-4(v + 1) + 6v = (v + 2) + -8

Reorder the terms:
-4(1 + v) + 6v = (v + 2) + -8
(1 * -4 + v * -4) + 6v = (v + 2) + -8
(-4 + -4v) + 6v = (v + 2) + -8

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

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

Remove parenthesis around (2 + v)
-4 + 2v = 2 + v + -8

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

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

Solving
-4 + 2v = -6 + v

Solving for variable 'v'.

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

Add '-1v' to each side of the equation.
-4 + 2v + -1v = -6 + v + -1v

Combine like terms: 2v + -1v = 1v
-4 + 1v = -6 + v + -1v

Combine like terms: v + -1v = 0
-4 + 1v = -6 + 0
-4 + 1v = -6

Add '4' to each side of the equation.
-4 + 4 + 1v = -6 + 4

Combine like terms: -4 + 4 = 0
0 + 1v = -6 + 4
1v = -6 + 4

Combine like terms: -6 + 4 = -2
1v = -2

Divide each side by '1'.
v = -2

Simplifying
v = -2

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