6(2n+2)=6(6n+8)+9

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Solution for 6(2n+2)=6(6n+8)+9 equation: 


Simplifying
6(2n + 2) = 6(6n + 8) + 9

Reorder the terms:
6(2 + 2n) = 6(6n + 8) + 9
(2 * 6 + 2n * 6) = 6(6n + 8) + 9
(12 + 12n) = 6(6n + 8) + 9

Reorder the terms:
12 + 12n = 6(8 + 6n) + 9
12 + 12n = (8 * 6 + 6n * 6) + 9
12 + 12n = (48 + 36n) + 9

Reorder the terms:
12 + 12n = 48 + 9 + 36n

Combine like terms: 48 + 9 = 57
12 + 12n = 57 + 36n

Solving
12 + 12n = 57 + 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 = 57 + 36n + -36n

Combine like terms: 12n + -36n = -24n
12 + -24n = 57 + 36n + -36n

Combine like terms: 36n + -36n = 0
12 + -24n = 57 + 0
12 + -24n = 57

Add '-12' to each side of the equation.
12 + -12 + -24n = 57 + -12

Combine like terms: 12 + -12 = 0
0 + -24n = 57 + -12
-24n = 57 + -12

Combine like terms: 57 + -12 = 45
-24n = 45

Divide each side by '-24'.
n = -1.875

Simplifying
n = -1.875

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