-3(-4v+8)-v=7(v-3)-5

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Solution for -3(-4v+8)-v=7(v-3)-5 equation: 


Simplifying
-3(-4v + 8) + -1v = 7(v + -3) + -5

Reorder the terms:
-3(8 + -4v) + -1v = 7(v + -3) + -5
(8 * -3 + -4v * -3) + -1v = 7(v + -3) + -5
(-24 + 12v) + -1v = 7(v + -3) + -5

Combine like terms: 12v + -1v = 11v
-24 + 11v = 7(v + -3) + -5

Reorder the terms:
-24 + 11v = 7(-3 + v) + -5
-24 + 11v = (-3 * 7 + v * 7) + -5
-24 + 11v = (-21 + 7v) + -5

Reorder the terms:
-24 + 11v = -21 + -5 + 7v

Combine like terms: -21 + -5 = -26
-24 + 11v = -26 + 7v

Solving
-24 + 11v = -26 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
-24 + 11v + -7v = -26 + 7v + -7v

Combine like terms: 11v + -7v = 4v
-24 + 4v = -26 + 7v + -7v

Combine like terms: 7v + -7v = 0
-24 + 4v = -26 + 0
-24 + 4v = -26

Add '24' to each side of the equation.
-24 + 24 + 4v = -26 + 24

Combine like terms: -24 + 24 = 0
0 + 4v = -26 + 24
4v = -26 + 24

Combine like terms: -26 + 24 = -2
4v = -2

Divide each side by '4'.
v = -0.5

Simplifying
v = -0.5

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