7(2n+2)=11n+20

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Solution for 7(2n+2)=11n+20 equation:


Simplifying
7(2n + 2) = 11n + 20

Reorder the terms:
7(2 + 2n) = 11n + 20
(2 * 7 + 2n * 7) = 11n + 20
(14 + 14n) = 11n + 20

Reorder the terms:
14 + 14n = 20 + 11n

Solving
14 + 14n = 20 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
14 + 14n + -11n = 20 + 11n + -11n

Combine like terms: 14n + -11n = 3n
14 + 3n = 20 + 11n + -11n

Combine like terms: 11n + -11n = 0
14 + 3n = 20 + 0
14 + 3n = 20

Add '-14' to each side of the equation.
14 + -14 + 3n = 20 + -14

Combine like terms: 14 + -14 = 0
0 + 3n = 20 + -14
3n = 20 + -14

Combine like terms: 20 + -14 = 6
3n = 6

Divide each side by '3'.
n = 2

Simplifying
n = 2

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