4(2n+1)=9(3n+6)+8

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Solution for 4(2n+1)=9(3n+6)+8 equation: 


Simplifying
4(2n + 1) = 9(3n + 6) + 8

Reorder the terms:
4(1 + 2n) = 9(3n + 6) + 8
(1 * 4 + 2n * 4) = 9(3n + 6) + 8
(4 + 8n) = 9(3n + 6) + 8

Reorder the terms:
4 + 8n = 9(6 + 3n) + 8
4 + 8n = (6 * 9 + 3n * 9) + 8
4 + 8n = (54 + 27n) + 8

Reorder the terms:
4 + 8n = 54 + 8 + 27n

Combine like terms: 54 + 8 = 62
4 + 8n = 62 + 27n

Solving
4 + 8n = 62 + 27n

Solving for variable 'n'.

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

Add '-27n' to each side of the equation.
4 + 8n + -27n = 62 + 27n + -27n

Combine like terms: 8n + -27n = -19n
4 + -19n = 62 + 27n + -27n

Combine like terms: 27n + -27n = 0
4 + -19n = 62 + 0
4 + -19n = 62

Add '-4' to each side of the equation.
4 + -4 + -19n = 62 + -4

Combine like terms: 4 + -4 = 0
0 + -19n = 62 + -4
-19n = 62 + -4

Combine like terms: 62 + -4 = 58
-19n = 58

Divide each side by '-19'.
n = -3.052631579

Simplifying
n = -3.052631579

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