6(n-6)=(n+2)

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Solution for 6(n-6)=(n+2) equation:


Simplifying
6(n + -6) = (n + 2)

Reorder the terms:
6(-6 + n) = (n + 2)
(-6 * 6 + n * 6) = (n + 2)
(-36 + 6n) = (n + 2)

Reorder the terms:
-36 + 6n = (2 + n)

Remove parenthesis around (2 + n)
-36 + 6n = 2 + n

Solving
-36 + 6n = 2 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-36 + 6n + -1n = 2 + n + -1n

Combine like terms: 6n + -1n = 5n
-36 + 5n = 2 + n + -1n

Combine like terms: n + -1n = 0
-36 + 5n = 2 + 0
-36 + 5n = 2

Add '36' to each side of the equation.
-36 + 36 + 5n = 2 + 36

Combine like terms: -36 + 36 = 0
0 + 5n = 2 + 36
5n = 2 + 36

Combine like terms: 2 + 36 = 38
5n = 38

Divide each side by '5'.
n = 7.6

Simplifying
n = 7.6

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