8(4v-1)-12v=11(2v-6)

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Solution for 8(4v-1)-12v=11(2v-6) equation:


Simplifying
8(4v + -1) + -12v = 11(2v + -6)

Reorder the terms:
8(-1 + 4v) + -12v = 11(2v + -6)
(-1 * 8 + 4v * 8) + -12v = 11(2v + -6)
(-8 + 32v) + -12v = 11(2v + -6)

Combine like terms: 32v + -12v = 20v
-8 + 20v = 11(2v + -6)

Reorder the terms:
-8 + 20v = 11(-6 + 2v)
-8 + 20v = (-6 * 11 + 2v * 11)
-8 + 20v = (-66 + 22v)

Solving
-8 + 20v = -66 + 22v

Solving for variable 'v'.

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

Add '-22v' to each side of the equation.
-8 + 20v + -22v = -66 + 22v + -22v

Combine like terms: 20v + -22v = -2v
-8 + -2v = -66 + 22v + -22v

Combine like terms: 22v + -22v = 0
-8 + -2v = -66 + 0
-8 + -2v = -66

Add '8' to each side of the equation.
-8 + 8 + -2v = -66 + 8

Combine like terms: -8 + 8 = 0
0 + -2v = -66 + 8
-2v = -66 + 8

Combine like terms: -66 + 8 = -58
-2v = -58

Divide each side by '-2'.
v = 29

Simplifying
v = 29

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