3(v-9)-2=-3(-3v+9)-2v

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


Simplifying
3(v + -9) + -2 = -3(-3v + 9) + -2v

Reorder the terms:
3(-9 + v) + -2 = -3(-3v + 9) + -2v
(-9 * 3 + v * 3) + -2 = -3(-3v + 9) + -2v
(-27 + 3v) + -2 = -3(-3v + 9) + -2v

Reorder the terms:
-27 + -2 + 3v = -3(-3v + 9) + -2v

Combine like terms: -27 + -2 = -29
-29 + 3v = -3(-3v + 9) + -2v

Reorder the terms:
-29 + 3v = -3(9 + -3v) + -2v
-29 + 3v = (9 * -3 + -3v * -3) + -2v
-29 + 3v = (-27 + 9v) + -2v

Combine like terms: 9v + -2v = 7v
-29 + 3v = -27 + 7v

Solving
-29 + 3v = -27 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
-29 + 3v + -7v = -27 + 7v + -7v

Combine like terms: 3v + -7v = -4v
-29 + -4v = -27 + 7v + -7v

Combine like terms: 7v + -7v = 0
-29 + -4v = -27 + 0
-29 + -4v = -27

Add '29' to each side of the equation.
-29 + 29 + -4v = -27 + 29

Combine like terms: -29 + 29 = 0
0 + -4v = -27 + 29
-4v = -27 + 29

Combine like terms: -27 + 29 = 2
-4v = 2

Divide each side by '-4'.
v = -0.5

Simplifying
v = -0.5

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