8v+5+6v-5=9(1+2v)+3(4+v)

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Solution for 8v+5+6v-5=9(1+2v)+3(4+v) equation:


Simplifying
8v + 5 + 6v + -5 = 9(1 + 2v) + 3(4 + v)

Reorder the terms:
5 + -5 + 8v + 6v = 9(1 + 2v) + 3(4 + v)

Combine like terms: 5 + -5 = 0
0 + 8v + 6v = 9(1 + 2v) + 3(4 + v)
8v + 6v = 9(1 + 2v) + 3(4 + v)

Combine like terms: 8v + 6v = 14v
14v = 9(1 + 2v) + 3(4 + v)
14v = (1 * 9 + 2v * 9) + 3(4 + v)
14v = (9 + 18v) + 3(4 + v)
14v = 9 + 18v + (4 * 3 + v * 3)
14v = 9 + 18v + (12 + 3v)

Reorder the terms:
14v = 9 + 12 + 18v + 3v

Combine like terms: 9 + 12 = 21
14v = 21 + 18v + 3v

Combine like terms: 18v + 3v = 21v
14v = 21 + 21v

Solving
14v = 21 + 21v

Solving for variable 'v'.

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

Add '-21v' to each side of the equation.
14v + -21v = 21 + 21v + -21v

Combine like terms: 14v + -21v = -7v
-7v = 21 + 21v + -21v

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

Divide each side by '-7'.
v = -3

Simplifying
v = -3

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