6(2n+2)=6(6n+3)+2

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Solution for 6(2n+2)=6(6n+3)+2 equation: 


Simplifying
6(2n + 2) = 6(6n + 3) + 2

Reorder the terms:
6(2 + 2n) = 6(6n + 3) + 2
(2 * 6 + 2n * 6) = 6(6n + 3) + 2
(12 + 12n) = 6(6n + 3) + 2

Reorder the terms:
12 + 12n = 6(3 + 6n) + 2
12 + 12n = (3 * 6 + 6n * 6) + 2
12 + 12n = (18 + 36n) + 2

Reorder the terms:
12 + 12n = 18 + 2 + 36n

Combine like terms: 18 + 2 = 20
12 + 12n = 20 + 36n

Solving
12 + 12n = 20 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
12 + 12n + -36n = 20 + 36n + -36n

Combine like terms: 12n + -36n = -24n
12 + -24n = 20 + 36n + -36n

Combine like terms: 36n + -36n = 0
12 + -24n = 20 + 0
12 + -24n = 20

Add '-12' to each side of the equation.
12 + -12 + -24n = 20 + -12

Combine like terms: 12 + -12 = 0
0 + -24n = 20 + -12
-24n = 20 + -12

Combine like terms: 20 + -12 = 8
-24n = 8

Divide each side by '-24'.
n = -0.3333333333

Simplifying
n = -0.3333333333

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