6(2n-2)=(6n+5)+2

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Solution for 6(2n-2)=(6n+5)+2 equation:


Simplifying
6(2n + -2) = (6n + 5) + 2

Reorder the terms:
6(-2 + 2n) = (6n + 5) + 2
(-2 * 6 + 2n * 6) = (6n + 5) + 2
(-12 + 12n) = (6n + 5) + 2

Reorder the terms:
-12 + 12n = (5 + 6n) + 2

Remove parenthesis around (5 + 6n)
-12 + 12n = 5 + 6n + 2

Reorder the terms:
-12 + 12n = 5 + 2 + 6n

Combine like terms: 5 + 2 = 7
-12 + 12n = 7 + 6n

Solving
-12 + 12n = 7 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-12 + 12n + -6n = 7 + 6n + -6n

Combine like terms: 12n + -6n = 6n
-12 + 6n = 7 + 6n + -6n

Combine like terms: 6n + -6n = 0
-12 + 6n = 7 + 0
-12 + 6n = 7

Add '12' to each side of the equation.
-12 + 12 + 6n = 7 + 12

Combine like terms: -12 + 12 = 0
0 + 6n = 7 + 12
6n = 7 + 12

Combine like terms: 7 + 12 = 19
6n = 19

Divide each side by '6'.
n = 3.166666667

Simplifying
n = 3.166666667

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