-9(v+3)+3v+7=8v+11

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Solution for -9(v+3)+3v+7=8v+11 equation:


Simplifying
-9(v + 3) + 3v + 7 = 8v + 11

Reorder the terms:
-9(3 + v) + 3v + 7 = 8v + 11
(3 * -9 + v * -9) + 3v + 7 = 8v + 11
(-27 + -9v) + 3v + 7 = 8v + 11

Reorder the terms:
-27 + 7 + -9v + 3v = 8v + 11

Combine like terms: -27 + 7 = -20
-20 + -9v + 3v = 8v + 11

Combine like terms: -9v + 3v = -6v
-20 + -6v = 8v + 11

Reorder the terms:
-20 + -6v = 11 + 8v

Solving
-20 + -6v = 11 + 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.
-20 + -6v + -8v = 11 + 8v + -8v

Combine like terms: -6v + -8v = -14v
-20 + -14v = 11 + 8v + -8v

Combine like terms: 8v + -8v = 0
-20 + -14v = 11 + 0
-20 + -14v = 11

Add '20' to each side of the equation.
-20 + 20 + -14v = 11 + 20

Combine like terms: -20 + 20 = 0
0 + -14v = 11 + 20
-14v = 11 + 20

Combine like terms: 11 + 20 = 31
-14v = 31

Divide each side by '-14'.
v = -2.214285714

Simplifying
v = -2.214285714

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