4(n+1)=2(11-n)

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Solution for 4(n+1)=2(11-n) equation:


Simplifying
4(n + 1) = 2(11 + -1n)

Reorder the terms:
4(1 + n) = 2(11 + -1n)
(1 * 4 + n * 4) = 2(11 + -1n)
(4 + 4n) = 2(11 + -1n)
4 + 4n = (11 * 2 + -1n * 2)
4 + 4n = (22 + -2n)

Solving
4 + 4n = 22 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
4 + 4n + 2n = 22 + -2n + 2n

Combine like terms: 4n + 2n = 6n
4 + 6n = 22 + -2n + 2n

Combine like terms: -2n + 2n = 0
4 + 6n = 22 + 0
4 + 6n = 22

Add '-4' to each side of the equation.
4 + -4 + 6n = 22 + -4

Combine like terms: 4 + -4 = 0
0 + 6n = 22 + -4
6n = 22 + -4

Combine like terms: 22 + -4 = 18
6n = 18

Divide each side by '6'.
n = 3

Simplifying
n = 3

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