5(6+4n)=11(3n+11)

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Solution for 5(6+4n)=11(3n+11) equation:


Simplifying
5(6 + 4n) = 11(3n + 11)
(6 * 5 + 4n * 5) = 11(3n + 11)
(30 + 20n) = 11(3n + 11)

Reorder the terms:
30 + 20n = 11(11 + 3n)
30 + 20n = (11 * 11 + 3n * 11)
30 + 20n = (121 + 33n)

Solving
30 + 20n = 121 + 33n

Solving for variable 'n'.

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

Add '-33n' to each side of the equation.
30 + 20n + -33n = 121 + 33n + -33n

Combine like terms: 20n + -33n = -13n
30 + -13n = 121 + 33n + -33n

Combine like terms: 33n + -33n = 0
30 + -13n = 121 + 0
30 + -13n = 121

Add '-30' to each side of the equation.
30 + -30 + -13n = 121 + -30

Combine like terms: 30 + -30 = 0
0 + -13n = 121 + -30
-13n = 121 + -30

Combine like terms: 121 + -30 = 91
-13n = 91

Divide each side by '-13'.
n = -7

Simplifying
n = -7

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