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

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


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

Reorder the terms:
3(5 + 2v) + 2v = 3(v + 5) + 2
(5 * 3 + 2v * 3) + 2v = 3(v + 5) + 2
(15 + 6v) + 2v = 3(v + 5) + 2

Combine like terms: 6v + 2v = 8v
15 + 8v = 3(v + 5) + 2

Reorder the terms:
15 + 8v = 3(5 + v) + 2
15 + 8v = (5 * 3 + v * 3) + 2
15 + 8v = (15 + 3v) + 2

Reorder the terms:
15 + 8v = 15 + 2 + 3v

Combine like terms: 15 + 2 = 17
15 + 8v = 17 + 3v

Solving
15 + 8v = 17 + 3v

Solving for variable 'v'.

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

Add '-3v' to each side of the equation.
15 + 8v + -3v = 17 + 3v + -3v

Combine like terms: 8v + -3v = 5v
15 + 5v = 17 + 3v + -3v

Combine like terms: 3v + -3v = 0
15 + 5v = 17 + 0
15 + 5v = 17

Add '-15' to each side of the equation.
15 + -15 + 5v = 17 + -15

Combine like terms: 15 + -15 = 0
0 + 5v = 17 + -15
5v = 17 + -15

Combine like terms: 17 + -15 = 2
5v = 2

Divide each side by '5'.
v = 0.4

Simplifying
v = 0.4

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