4(2n+4)=6(6n+3)+6

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Solution for 4(2n+4)=6(6n+3)+6 equation: 


Simplifying
4(2n + 4) = 6(6n + 3) + 6

Reorder the terms:
4(4 + 2n) = 6(6n + 3) + 6
(4 * 4 + 2n * 4) = 6(6n + 3) + 6
(16 + 8n) = 6(6n + 3) + 6

Reorder the terms:
16 + 8n = 6(3 + 6n) + 6
16 + 8n = (3 * 6 + 6n * 6) + 6
16 + 8n = (18 + 36n) + 6

Reorder the terms:
16 + 8n = 18 + 6 + 36n

Combine like terms: 18 + 6 = 24
16 + 8n = 24 + 36n

Solving
16 + 8n = 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.
16 + 8n + -36n = 24 + 36n + -36n

Combine like terms: 8n + -36n = -28n
16 + -28n = 24 + 36n + -36n

Combine like terms: 36n + -36n = 0
16 + -28n = 24 + 0
16 + -28n = 24

Add '-16' to each side of the equation.
16 + -16 + -28n = 24 + -16

Combine like terms: 16 + -16 = 0
0 + -28n = 24 + -16
-28n = 24 + -16

Combine like terms: 24 + -16 = 8
-28n = 8

Divide each side by '-28'.
n = -0.2857142857

Simplifying
n = -0.2857142857

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