4(11n+11)=11(5n+1)

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Solution for 4(11n+11)=11(5n+1) equation: 


Simplifying
4(11n + 11) = 11(5n + 1)

Reorder the terms:
4(11 + 11n) = 11(5n + 1)
(11 * 4 + 11n * 4) = 11(5n + 1)
(44 + 44n) = 11(5n + 1)

Reorder the terms:
44 + 44n = 11(1 + 5n)
44 + 44n = (1 * 11 + 5n * 11)
44 + 44n = (11 + 55n)

Solving
44 + 44n = 11 + 55n

Solving for variable 'n'.

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

Add '-55n' to each side of the equation.
44 + 44n + -55n = 11 + 55n + -55n

Combine like terms: 44n + -55n = -11n
44 + -11n = 11 + 55n + -55n

Combine like terms: 55n + -55n = 0
44 + -11n = 11 + 0
44 + -11n = 11

Add '-44' to each side of the equation.
44 + -44 + -11n = 11 + -44

Combine like terms: 44 + -44 = 0
0 + -11n = 11 + -44
-11n = 11 + -44

Combine like terms: 11 + -44 = -33
-11n = -33

Divide each side by '-11'.
n = 3

Simplifying
n = 3

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