6(v-6)-2=-7(-3v+5)-9v

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Solution for 6(v-6)-2=-7(-3v+5)-9v equation:


Simplifying
6(v + -6) + -2 = -7(-3v + 5) + -9v

Reorder the terms:
6(-6 + v) + -2 = -7(-3v + 5) + -9v
(-6 * 6 + v * 6) + -2 = -7(-3v + 5) + -9v
(-36 + 6v) + -2 = -7(-3v + 5) + -9v

Reorder the terms:
-36 + -2 + 6v = -7(-3v + 5) + -9v

Combine like terms: -36 + -2 = -38
-38 + 6v = -7(-3v + 5) + -9v

Reorder the terms:
-38 + 6v = -7(5 + -3v) + -9v
-38 + 6v = (5 * -7 + -3v * -7) + -9v
-38 + 6v = (-35 + 21v) + -9v

Combine like terms: 21v + -9v = 12v
-38 + 6v = -35 + 12v

Solving
-38 + 6v = -35 + 12v

Solving for variable 'v'.

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

Add '-12v' to each side of the equation.
-38 + 6v + -12v = -35 + 12v + -12v

Combine like terms: 6v + -12v = -6v
-38 + -6v = -35 + 12v + -12v

Combine like terms: 12v + -12v = 0
-38 + -6v = -35 + 0
-38 + -6v = -35

Add '38' to each side of the equation.
-38 + 38 + -6v = -35 + 38

Combine like terms: -38 + 38 = 0
0 + -6v = -35 + 38
-6v = -35 + 38

Combine like terms: -35 + 38 = 3
-6v = 3

Divide each side by '-6'.
v = -0.5

Simplifying
v = -0.5

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