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

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


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

Combine like terms: 6v + 3v = 9v
9v = 3(v + 1) + 5(v + -1)

Reorder the terms:
9v = 3(1 + v) + 5(v + -1)
9v = (1 * 3 + v * 3) + 5(v + -1)
9v = (3 + 3v) + 5(v + -1)

Reorder the terms:
9v = 3 + 3v + 5(-1 + v)
9v = 3 + 3v + (-1 * 5 + v * 5)
9v = 3 + 3v + (-5 + 5v)

Reorder the terms:
9v = 3 + -5 + 3v + 5v

Combine like terms: 3 + -5 = -2
9v = -2 + 3v + 5v

Combine like terms: 3v + 5v = 8v
9v = -2 + 8v

Solving
9v = -2 + 8v

Solving for variable 'v'.

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

Add '-8v' to each side of the equation.
9v + -8v = -2 + 8v + -8v

Combine like terms: 9v + -8v = 1v
1v = -2 + 8v + -8v

Combine like terms: 8v + -8v = 0
1v = -2 + 0
1v = -2

Divide each side by '1'.
v = -2

Simplifying
v = -2

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