3(8-3v+1)=5(-2v-2)

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Solution for 3(8-3v+1)=5(-2v-2) equation:


Simplifying
3(8 + -3v + 1) = 5(-2v + -2)

Reorder the terms:
3(8 + 1 + -3v) = 5(-2v + -2)

Combine like terms: 8 + 1 = 9
3(9 + -3v) = 5(-2v + -2)
(9 * 3 + -3v * 3) = 5(-2v + -2)
(27 + -9v) = 5(-2v + -2)

Reorder the terms:
27 + -9v = 5(-2 + -2v)
27 + -9v = (-2 * 5 + -2v * 5)
27 + -9v = (-10 + -10v)

Solving
27 + -9v = -10 + -10v

Solving for variable 'v'.

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

Add '10v' to each side of the equation.
27 + -9v + 10v = -10 + -10v + 10v

Combine like terms: -9v + 10v = 1v
27 + 1v = -10 + -10v + 10v

Combine like terms: -10v + 10v = 0
27 + 1v = -10 + 0
27 + 1v = -10

Add '-27' to each side of the equation.
27 + -27 + 1v = -10 + -27

Combine like terms: 27 + -27 = 0
0 + 1v = -10 + -27
1v = -10 + -27

Combine like terms: -10 + -27 = -37
1v = -37

Divide each side by '1'.
v = -37

Simplifying
v = -37

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