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

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Solution for -4(-3v+3)-v=5(v-4)-1 equation:


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

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

Combine like terms: 12v + -1v = 11v
-12 + 11v = 5(v + -4) + -1

Reorder the terms:
-12 + 11v = 5(-4 + v) + -1
-12 + 11v = (-4 * 5 + v * 5) + -1
-12 + 11v = (-20 + 5v) + -1

Reorder the terms:
-12 + 11v = -20 + -1 + 5v

Combine like terms: -20 + -1 = -21
-12 + 11v = -21 + 5v

Solving
-12 + 11v = -21 + 5v

Solving for variable 'v'.

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

Add '-5v' to each side of the equation.
-12 + 11v + -5v = -21 + 5v + -5v

Combine like terms: 11v + -5v = 6v
-12 + 6v = -21 + 5v + -5v

Combine like terms: 5v + -5v = 0
-12 + 6v = -21 + 0
-12 + 6v = -21

Add '12' to each side of the equation.
-12 + 12 + 6v = -21 + 12

Combine like terms: -12 + 12 = 0
0 + 6v = -21 + 12
6v = -21 + 12

Combine like terms: -21 + 12 = -9
6v = -9

Divide each side by '6'.
v = -1.5

Simplifying
v = -1.5

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