-9(v+3)+2v+5=7v+11

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Solution for -9(v+3)+2v+5=7v+11 equation:


Simplifying
-9(v + 3) + 2v + 5 = 7v + 11

Reorder the terms:
-9(3 + v) + 2v + 5 = 7v + 11
(3 * -9 + v * -9) + 2v + 5 = 7v + 11
(-27 + -9v) + 2v + 5 = 7v + 11

Reorder the terms:
-27 + 5 + -9v + 2v = 7v + 11

Combine like terms: -27 + 5 = -22
-22 + -9v + 2v = 7v + 11

Combine like terms: -9v + 2v = -7v
-22 + -7v = 7v + 11

Reorder the terms:
-22 + -7v = 11 + 7v

Solving
-22 + -7v = 11 + 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.
-22 + -7v + -7v = 11 + 7v + -7v

Combine like terms: -7v + -7v = -14v
-22 + -14v = 11 + 7v + -7v

Combine like terms: 7v + -7v = 0
-22 + -14v = 11 + 0
-22 + -14v = 11

Add '22' to each side of the equation.
-22 + 22 + -14v = 11 + 22

Combine like terms: -22 + 22 = 0
0 + -14v = 11 + 22
-14v = 11 + 22

Combine like terms: 11 + 22 = 33
-14v = 33

Divide each side by '-14'.
v = -2.357142857

Simplifying
v = -2.357142857

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