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

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


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

Reorder the terms:
-7(2 + v) + 4v + 5 = 8v + 11
(2 * -7 + v * -7) + 4v + 5 = 8v + 11
(-14 + -7v) + 4v + 5 = 8v + 11

Reorder the terms:
-14 + 5 + -7v + 4v = 8v + 11

Combine like terms: -14 + 5 = -9
-9 + -7v + 4v = 8v + 11

Combine like terms: -7v + 4v = -3v
-9 + -3v = 8v + 11

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

Solving
-9 + -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.
-9 + -3v + -8v = 11 + 8v + -8v

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

Combine like terms: 8v + -8v = 0
-9 + -11v = 11 + 0
-9 + -11v = 11

Add '9' to each side of the equation.
-9 + 9 + -11v = 11 + 9

Combine like terms: -9 + 9 = 0
0 + -11v = 11 + 9
-11v = 11 + 9

Combine like terms: 11 + 9 = 20
-11v = 20

Divide each side by '-11'.
v = -1.818181818

Simplifying
v = -1.818181818

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