3v-9v=-2(-7-v)-3(11+3v)

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Solution for 3v-9v=-2(-7-v)-3(11+3v) equation:


Simplifying
3v + -9v = -2(-7 + -1v) + -3(11 + 3v)

Combine like terms: 3v + -9v = -6v
-6v = -2(-7 + -1v) + -3(11 + 3v)
-6v = (-7 * -2 + -1v * -2) + -3(11 + 3v)
-6v = (14 + 2v) + -3(11 + 3v)
-6v = 14 + 2v + (11 * -3 + 3v * -3)
-6v = 14 + 2v + (-33 + -9v)

Reorder the terms:
-6v = 14 + -33 + 2v + -9v

Combine like terms: 14 + -33 = -19
-6v = -19 + 2v + -9v

Combine like terms: 2v + -9v = -7v
-6v = -19 + -7v

Solving
-6v = -19 + -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.
-6v + 7v = -19 + -7v + 7v

Combine like terms: -6v + 7v = 1v
1v = -19 + -7v + 7v

Combine like terms: -7v + 7v = 0
1v = -19 + 0
1v = -19

Divide each side by '1'.
v = -19

Simplifying
v = -19

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