2(v-8)-6=-2(-8v+5)-5v

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Solution for 2(v-8)-6=-2(-8v+5)-5v equation:


Simplifying
2(v + -8) + -6 = -2(-8v + 5) + -5v

Reorder the terms:
2(-8 + v) + -6 = -2(-8v + 5) + -5v
(-8 * 2 + v * 2) + -6 = -2(-8v + 5) + -5v
(-16 + 2v) + -6 = -2(-8v + 5) + -5v

Reorder the terms:
-16 + -6 + 2v = -2(-8v + 5) + -5v

Combine like terms: -16 + -6 = -22
-22 + 2v = -2(-8v + 5) + -5v

Reorder the terms:
-22 + 2v = -2(5 + -8v) + -5v
-22 + 2v = (5 * -2 + -8v * -2) + -5v
-22 + 2v = (-10 + 16v) + -5v

Combine like terms: 16v + -5v = 11v
-22 + 2v = -10 + 11v

Solving
-22 + 2v = -10 + 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.
-22 + 2v + -11v = -10 + 11v + -11v

Combine like terms: 2v + -11v = -9v
-22 + -9v = -10 + 11v + -11v

Combine like terms: 11v + -11v = 0
-22 + -9v = -10 + 0
-22 + -9v = -10

Add '22' to each side of the equation.
-22 + 22 + -9v = -10 + 22

Combine like terms: -22 + 22 = 0
0 + -9v = -10 + 22
-9v = -10 + 22

Combine like terms: -10 + 22 = 12
-9v = 12

Divide each side by '-9'.
v = -1.333333333

Simplifying
v = -1.333333333

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