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

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


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

Reorder the terms:
-4(4 + v) + 2v + 5 = 7v + 11
(4 * -4 + v * -4) + 2v + 5 = 7v + 11
(-16 + -4v) + 2v + 5 = 7v + 11

Reorder the terms:
-16 + 5 + -4v + 2v = 7v + 11

Combine like terms: -16 + 5 = -11
-11 + -4v + 2v = 7v + 11

Combine like terms: -4v + 2v = -2v
-11 + -2v = 7v + 11

Reorder the terms:
-11 + -2v = 11 + 7v

Solving
-11 + -2v = 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.
-11 + -2v + -7v = 11 + 7v + -7v

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

Combine like terms: 7v + -7v = 0
-11 + -9v = 11 + 0
-11 + -9v = 11

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

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

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

Divide each side by '-9'.
v = -2.444444444

Simplifying
v = -2.444444444

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