-5(v+4)+2v+7=8v+11

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Solution for -5(v+4)+2v+7=8v+11 equation:


Simplifying
-5(v + 4) + 2v + 7 = 8v + 11

Reorder the terms:
-5(4 + v) + 2v + 7 = 8v + 11
(4 * -5 + v * -5) + 2v + 7 = 8v + 11
(-20 + -5v) + 2v + 7 = 8v + 11

Reorder the terms:
-20 + 7 + -5v + 2v = 8v + 11

Combine like terms: -20 + 7 = -13
-13 + -5v + 2v = 8v + 11

Combine like terms: -5v + 2v = -3v
-13 + -3v = 8v + 11

Reorder the terms:
-13 + -3v = 11 + 8v

Solving
-13 + -3v = 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.
-13 + -3v + -8v = 11 + 8v + -8v

Combine like terms: -3v + -8v = -11v
-13 + -11v = 11 + 8v + -8v

Combine like terms: 8v + -8v = 0
-13 + -11v = 11 + 0
-13 + -11v = 11

Add '13' to each side of the equation.
-13 + 13 + -11v = 11 + 13

Combine like terms: -13 + 13 = 0
0 + -11v = 11 + 13
-11v = 11 + 13

Combine like terms: 11 + 13 = 24
-11v = 24

Divide each side by '-11'.
v = -2.181818182

Simplifying
v = -2.181818182

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