-5(v+2)+3v+7=6v+11

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Solution for -5(v+2)+3v+7=6v+11 equation:


Simplifying
-5(v + 2) + 3v + 7 = 6v + 11

Reorder the terms:
-5(2 + v) + 3v + 7 = 6v + 11
(2 * -5 + v * -5) + 3v + 7 = 6v + 11
(-10 + -5v) + 3v + 7 = 6v + 11

Reorder the terms:
-10 + 7 + -5v + 3v = 6v + 11

Combine like terms: -10 + 7 = -3
-3 + -5v + 3v = 6v + 11

Combine like terms: -5v + 3v = -2v
-3 + -2v = 6v + 11

Reorder the terms:
-3 + -2v = 11 + 6v

Solving
-3 + -2v = 11 + 6v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-6v' to each side of the equation.
-3 + -2v + -6v = 11 + 6v + -6v

Combine like terms: -2v + -6v = -8v
-3 + -8v = 11 + 6v + -6v

Combine like terms: 6v + -6v = 0
-3 + -8v = 11 + 0
-3 + -8v = 11

Add '3' to each side of the equation.
-3 + 3 + -8v = 11 + 3

Combine like terms: -3 + 3 = 0
0 + -8v = 11 + 3
-8v = 11 + 3

Combine like terms: 11 + 3 = 14
-8v = 14

Divide each side by '-8'.
v = -1.75

Simplifying
v = -1.75

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