5(2v-1)-3(v+1)=4(v-6)+5(v+2)

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Solution for 5(2v-1)-3(v+1)=4(v-6)+5(v+2) equation: 


Simplifying
5(2v + -1) + -3(v + 1) = 4(v + -6) + 5(v + 2)

Reorder the terms:
5(-1 + 2v) + -3(v + 1) = 4(v + -6) + 5(v + 2)
(-1 * 5 + 2v * 5) + -3(v + 1) = 4(v + -6) + 5(v + 2)
(-5 + 10v) + -3(v + 1) = 4(v + -6) + 5(v + 2)

Reorder the terms:
-5 + 10v + -3(1 + v) = 4(v + -6) + 5(v + 2)
-5 + 10v + (1 * -3 + v * -3) = 4(v + -6) + 5(v + 2)
-5 + 10v + (-3 + -3v) = 4(v + -6) + 5(v + 2)

Reorder the terms:
-5 + -3 + 10v + -3v = 4(v + -6) + 5(v + 2)

Combine like terms: -5 + -3 = -8
-8 + 10v + -3v = 4(v + -6) + 5(v + 2)

Combine like terms: 10v + -3v = 7v
-8 + 7v = 4(v + -6) + 5(v + 2)

Reorder the terms:
-8 + 7v = 4(-6 + v) + 5(v + 2)
-8 + 7v = (-6 * 4 + v * 4) + 5(v + 2)
-8 + 7v = (-24 + 4v) + 5(v + 2)

Reorder the terms:
-8 + 7v = -24 + 4v + 5(2 + v)
-8 + 7v = -24 + 4v + (2 * 5 + v * 5)
-8 + 7v = -24 + 4v + (10 + 5v)

Reorder the terms:
-8 + 7v = -24 + 10 + 4v + 5v

Combine like terms: -24 + 10 = -14
-8 + 7v = -14 + 4v + 5v

Combine like terms: 4v + 5v = 9v
-8 + 7v = -14 + 9v

Solving
-8 + 7v = -14 + 9v

Solving for variable 'v'.

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

Add '-9v' to each side of the equation.
-8 + 7v + -9v = -14 + 9v + -9v

Combine like terms: 7v + -9v = -2v
-8 + -2v = -14 + 9v + -9v

Combine like terms: 9v + -9v = 0
-8 + -2v = -14 + 0
-8 + -2v = -14

Add '8' to each side of the equation.
-8 + 8 + -2v = -14 + 8

Combine like terms: -8 + 8 = 0
0 + -2v = -14 + 8
-2v = -14 + 8

Combine like terms: -14 + 8 = -6
-2v = -6

Divide each side by '-2'.
v = 3

Simplifying
v = 3

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