3v+9=-6(v+9)

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Solution for 3v+9=-6(v+9) equation:


Simplifying
3v + 9 = -6(v + 9)

Reorder the terms:
9 + 3v = -6(v + 9)

Reorder the terms:
9 + 3v = -6(9 + v)
9 + 3v = (9 * -6 + v * -6)
9 + 3v = (-54 + -6v)

Solving
9 + 3v = -54 + -6v

Solving for variable 'v'.

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

Add '6v' to each side of the equation.
9 + 3v + 6v = -54 + -6v + 6v

Combine like terms: 3v + 6v = 9v
9 + 9v = -54 + -6v + 6v

Combine like terms: -6v + 6v = 0
9 + 9v = -54 + 0
9 + 9v = -54

Add '-9' to each side of the equation.
9 + -9 + 9v = -54 + -9

Combine like terms: 9 + -9 = 0
0 + 9v = -54 + -9
9v = -54 + -9

Combine like terms: -54 + -9 = -63
9v = -63

Divide each side by '9'.
v = -7

Simplifying
v = -7

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