v+3(v+3)=7(v-3)

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Solution for v+3(v+3)=7(v-3) equation: 


Simplifying
v + 3(v + 3) = 7(v + -3)

Reorder the terms:
v + 3(3 + v) = 7(v + -3)
v + (3 * 3 + v * 3) = 7(v + -3)
v + (9 + 3v) = 7(v + -3)

Reorder the terms:
9 + v + 3v = 7(v + -3)

Combine like terms: v + 3v = 4v
9 + 4v = 7(v + -3)

Reorder the terms:
9 + 4v = 7(-3 + v)
9 + 4v = (-3 * 7 + v * 7)
9 + 4v = (-21 + 7v)

Solving
9 + 4v = -21 + 7v

Solving for variable 'v'.

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

Add '-7v' to each side of the equation.
9 + 4v + -7v = -21 + 7v + -7v

Combine like terms: 4v + -7v = -3v
9 + -3v = -21 + 7v + -7v

Combine like terms: 7v + -7v = 0
9 + -3v = -21 + 0
9 + -3v = -21

Add '-9' to each side of the equation.
9 + -9 + -3v = -21 + -9

Combine like terms: 9 + -9 = 0
0 + -3v = -21 + -9
-3v = -21 + -9

Combine like terms: -21 + -9 = -30
-3v = -30

Divide each side by '-3'.
v = 10

Simplifying
v = 10

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