3v+7(4v-9)=9(3v+5)

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Solution for 3v+7(4v-9)=9(3v+5) equation:


Simplifying
3v + 7(4v + -9) = 9(3v + 5)

Reorder the terms:
3v + 7(-9 + 4v) = 9(3v + 5)
3v + (-9 * 7 + 4v * 7) = 9(3v + 5)
3v + (-63 + 28v) = 9(3v + 5)

Reorder the terms:
-63 + 3v + 28v = 9(3v + 5)

Combine like terms: 3v + 28v = 31v
-63 + 31v = 9(3v + 5)

Reorder the terms:
-63 + 31v = 9(5 + 3v)
-63 + 31v = (5 * 9 + 3v * 9)
-63 + 31v = (45 + 27v)

Solving
-63 + 31v = 45 + 27v

Solving for variable 'v'.

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

Add '-27v' to each side of the equation.
-63 + 31v + -27v = 45 + 27v + -27v

Combine like terms: 31v + -27v = 4v
-63 + 4v = 45 + 27v + -27v

Combine like terms: 27v + -27v = 0
-63 + 4v = 45 + 0
-63 + 4v = 45

Add '63' to each side of the equation.
-63 + 63 + 4v = 45 + 63

Combine like terms: -63 + 63 = 0
0 + 4v = 45 + 63
4v = 45 + 63

Combine like terms: 45 + 63 = 108
4v = 108

Divide each side by '4'.
v = 27

Simplifying
v = 27

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