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

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


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

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

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

Combine like terms: -3 + -1 = -4
-4 + 3v = -4(-3v + 4) + -1v

Reorder the terms:
-4 + 3v = -4(4 + -3v) + -1v
-4 + 3v = (4 * -4 + -3v * -4) + -1v
-4 + 3v = (-16 + 12v) + -1v

Combine like terms: 12v + -1v = 11v
-4 + 3v = -16 + 11v

Solving
-4 + 3v = -16 + 11v

Solving for variable 'v'.

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

Add '-11v' to each side of the equation.
-4 + 3v + -11v = -16 + 11v + -11v

Combine like terms: 3v + -11v = -8v
-4 + -8v = -16 + 11v + -11v

Combine like terms: 11v + -11v = 0
-4 + -8v = -16 + 0
-4 + -8v = -16

Add '4' to each side of the equation.
-4 + 4 + -8v = -16 + 4

Combine like terms: -4 + 4 = 0
0 + -8v = -16 + 4
-8v = -16 + 4

Combine like terms: -16 + 4 = -12
-8v = -12

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

Simplifying
v = 1.5

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