6(2n+2)=9(4n+2)+6

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Solution for 6(2n+2)=9(4n+2)+6 equation:


Simplifying
6(2n + 2) = 9(4n + 2) + 6

Reorder the terms:
6(2 + 2n) = 9(4n + 2) + 6
(2 * 6 + 2n * 6) = 9(4n + 2) + 6
(12 + 12n) = 9(4n + 2) + 6

Reorder the terms:
12 + 12n = 9(2 + 4n) + 6
12 + 12n = (2 * 9 + 4n * 9) + 6
12 + 12n = (18 + 36n) + 6

Reorder the terms:
12 + 12n = 18 + 6 + 36n

Combine like terms: 18 + 6 = 24
12 + 12n = 24 + 36n

Solving
12 + 12n = 24 + 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 = 24 + 36n + -36n

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

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

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

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

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

Divide each side by '-24'.
n = -0.5

Simplifying
n = -0.5

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