11n-7=5(n+6)

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Solution for 11n-7=5(n+6) equation:


Simplifying
11n + -7 = 5(n + 6)

Reorder the terms:
-7 + 11n = 5(n + 6)

Reorder the terms:
-7 + 11n = 5(6 + n)
-7 + 11n = (6 * 5 + n * 5)
-7 + 11n = (30 + 5n)

Solving
-7 + 11n = 30 + 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.
-7 + 11n + -5n = 30 + 5n + -5n

Combine like terms: 11n + -5n = 6n
-7 + 6n = 30 + 5n + -5n

Combine like terms: 5n + -5n = 0
-7 + 6n = 30 + 0
-7 + 6n = 30

Add '7' to each side of the equation.
-7 + 7 + 6n = 30 + 7

Combine like terms: -7 + 7 = 0
0 + 6n = 30 + 7
6n = 30 + 7

Combine like terms: 30 + 7 = 37
6n = 37

Divide each side by '6'.
n = 6.166666667

Simplifying
n = 6.166666667

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