2+6v=5(v+6)-6v

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


Simplifying
2 + 6v = 5(v + 6) + -6v

Reorder the terms:
2 + 6v = 5(6 + v) + -6v
2 + 6v = (6 * 5 + v * 5) + -6v
2 + 6v = (30 + 5v) + -6v

Combine like terms: 5v + -6v = -1v
2 + 6v = 30 + -1v

Solving
2 + 6v = 30 + -1v

Solving for variable 'v'.

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

Add 'v' to each side of the equation.
2 + 6v + v = 30 + -1v + v

Combine like terms: 6v + v = 7v
2 + 7v = 30 + -1v + v

Combine like terms: -1v + v = 0
2 + 7v = 30 + 0
2 + 7v = 30

Add '-2' to each side of the equation.
2 + -2 + 7v = 30 + -2

Combine like terms: 2 + -2 = 0
0 + 7v = 30 + -2
7v = 30 + -2

Combine like terms: 30 + -2 = 28
7v = 28

Divide each side by '7'.
v = 4

Simplifying
v = 4

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