5(v-1)-9=-2(-6v+5)-v

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Solution for 5(v-1)-9=-2(-6v+5)-v equation:


Simplifying
5(v + -1) + -9 = -2(-6v + 5) + -1v

Reorder the terms:
5(-1 + v) + -9 = -2(-6v + 5) + -1v
(-1 * 5 + v * 5) + -9 = -2(-6v + 5) + -1v
(-5 + 5v) + -9 = -2(-6v + 5) + -1v

Reorder the terms:
-5 + -9 + 5v = -2(-6v + 5) + -1v

Combine like terms: -5 + -9 = -14
-14 + 5v = -2(-6v + 5) + -1v

Reorder the terms:
-14 + 5v = -2(5 + -6v) + -1v
-14 + 5v = (5 * -2 + -6v * -2) + -1v
-14 + 5v = (-10 + 12v) + -1v

Combine like terms: 12v + -1v = 11v
-14 + 5v = -10 + 11v

Solving
-14 + 5v = -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.
-14 + 5v + -11v = -10 + 11v + -11v

Combine like terms: 5v + -11v = -6v
-14 + -6v = -10 + 11v + -11v

Combine like terms: 11v + -11v = 0
-14 + -6v = -10 + 0
-14 + -6v = -10

Add '14' to each side of the equation.
-14 + 14 + -6v = -10 + 14

Combine like terms: -14 + 14 = 0
0 + -6v = -10 + 14
-6v = -10 + 14

Combine like terms: -10 + 14 = 4
-6v = 4

Divide each side by '-6'.
v = -0.6666666667

Simplifying
v = -0.6666666667

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