6(2n+2)=6(6n+5)+7

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Solution for 6(2n+2)=6(6n+5)+7 equation: 


Simplifying
6(2n + 2) = 6(6n + 5) + 7

Reorder the terms:
6(2 + 2n) = 6(6n + 5) + 7
(2 * 6 + 2n * 6) = 6(6n + 5) + 7
(12 + 12n) = 6(6n + 5) + 7

Reorder the terms:
12 + 12n = 6(5 + 6n) + 7
12 + 12n = (5 * 6 + 6n * 6) + 7
12 + 12n = (30 + 36n) + 7

Reorder the terms:
12 + 12n = 30 + 7 + 36n

Combine like terms: 30 + 7 = 37
12 + 12n = 37 + 36n

Solving
12 + 12n = 37 + 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 = 37 + 36n + -36n

Combine like terms: 12n + -36n = -24n
12 + -24n = 37 + 36n + -36n

Combine like terms: 36n + -36n = 0
12 + -24n = 37 + 0
12 + -24n = 37

Add '-12' to each side of the equation.
12 + -12 + -24n = 37 + -12

Combine like terms: 12 + -12 = 0
0 + -24n = 37 + -12
-24n = 37 + -12

Combine like terms: 37 + -12 = 25
-24n = 25

Divide each side by '-24'.
n = -1.041666667

Simplifying
n = -1.041666667

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