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

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


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

Reorder the terms:
-3(5 + -4v) + -1v = 3(v + -8) + -3
(5 * -3 + -4v * -3) + -1v = 3(v + -8) + -3
(-15 + 12v) + -1v = 3(v + -8) + -3

Combine like terms: 12v + -1v = 11v
-15 + 11v = 3(v + -8) + -3

Reorder the terms:
-15 + 11v = 3(-8 + v) + -3
-15 + 11v = (-8 * 3 + v * 3) + -3
-15 + 11v = (-24 + 3v) + -3

Reorder the terms:
-15 + 11v = -24 + -3 + 3v

Combine like terms: -24 + -3 = -27
-15 + 11v = -27 + 3v

Solving
-15 + 11v = -27 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
-15 + 11v + -3v = -27 + 3v + -3v

Combine like terms: 11v + -3v = 8v
-15 + 8v = -27 + 3v + -3v

Combine like terms: 3v + -3v = 0
-15 + 8v = -27 + 0
-15 + 8v = -27

Add '15' to each side of the equation.
-15 + 15 + 8v = -27 + 15

Combine like terms: -15 + 15 = 0
0 + 8v = -27 + 15
8v = -27 + 15

Combine like terms: -27 + 15 = -12
8v = -12

Divide each side by '8'.
v = -1.5

Simplifying
v = -1.5

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