12(5v+7)=11(1+3v)

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Solution for 12(5v+7)=11(1+3v) equation:


Simplifying
12(5v + 7) = 11(1 + 3v)

Reorder the terms:
12(7 + 5v) = 11(1 + 3v)
(7 * 12 + 5v * 12) = 11(1 + 3v)
(84 + 60v) = 11(1 + 3v)
84 + 60v = (1 * 11 + 3v * 11)
84 + 60v = (11 + 33v)

Solving
84 + 60v = 11 + 33v

Solving for variable 'v'.

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

Add '-33v' to each side of the equation.
84 + 60v + -33v = 11 + 33v + -33v

Combine like terms: 60v + -33v = 27v
84 + 27v = 11 + 33v + -33v

Combine like terms: 33v + -33v = 0
84 + 27v = 11 + 0
84 + 27v = 11

Add '-84' to each side of the equation.
84 + -84 + 27v = 11 + -84

Combine like terms: 84 + -84 = 0
0 + 27v = 11 + -84
27v = 11 + -84

Combine like terms: 11 + -84 = -73
27v = -73

Divide each side by '27'.
v = -2.703703704

Simplifying
v = -2.703703704

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