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

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


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

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

Reorder the terms:
-6 + -2v = 3v + -2 + 2(3 + 5v)
-6 + -2v = 3v + -2 + (3 * 2 + 5v * 2)
-6 + -2v = 3v + -2 + (6 + 10v)

Reorder the terms:
-6 + -2v = -2 + 6 + 3v + 10v

Combine like terms: -2 + 6 = 4
-6 + -2v = 4 + 3v + 10v

Combine like terms: 3v + 10v = 13v
-6 + -2v = 4 + 13v

Solving
-6 + -2v = 4 + 13v

Solving for variable 'v'.

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

Add '-13v' to each side of the equation.
-6 + -2v + -13v = 4 + 13v + -13v

Combine like terms: -2v + -13v = -15v
-6 + -15v = 4 + 13v + -13v

Combine like terms: 13v + -13v = 0
-6 + -15v = 4 + 0
-6 + -15v = 4

Add '6' to each side of the equation.
-6 + 6 + -15v = 4 + 6

Combine like terms: -6 + 6 = 0
0 + -15v = 4 + 6
-15v = 4 + 6

Combine like terms: 4 + 6 = 10
-15v = 10

Divide each side by '-15'.
v = -0.6666666667

Simplifying
v = -0.6666666667

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