2(11+3n)=5(11-n)

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Solution for 2(11+3n)=5(11-n) equation:


Simplifying
2(11 + 3n) = 5(11 + -1n)
(11 * 2 + 3n * 2) = 5(11 + -1n)
(22 + 6n) = 5(11 + -1n)
22 + 6n = (11 * 5 + -1n * 5)
22 + 6n = (55 + -5n)

Solving
22 + 6n = 55 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
22 + 6n + 5n = 55 + -5n + 5n

Combine like terms: 6n + 5n = 11n
22 + 11n = 55 + -5n + 5n

Combine like terms: -5n + 5n = 0
22 + 11n = 55 + 0
22 + 11n = 55

Add '-22' to each side of the equation.
22 + -22 + 11n = 55 + -22

Combine like terms: 22 + -22 = 0
0 + 11n = 55 + -22
11n = 55 + -22

Combine like terms: 55 + -22 = 33
11n = 33

Divide each side by '11'.
n = 3

Simplifying
n = 3

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