v=3(v+5)-6v

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


Simplifying
v = 3(v + 5) + -6v

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

Combine like terms: 3v + -6v = -3v
v = 15 + -3v

Solving
v = 15 + -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.
v + 3v = 15 + -3v + 3v

Combine like terms: v + 3v = 4v
4v = 15 + -3v + 3v

Combine like terms: -3v + 3v = 0
4v = 15 + 0
4v = 15

Divide each side by '4'.
v = 3.75

Simplifying
v = 3.75

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