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

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


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

Reorder the terms:
6(3 + 3n) = 8(8n + 1) + 9
(3 * 6 + 3n * 6) = 8(8n + 1) + 9
(18 + 18n) = 8(8n + 1) + 9

Reorder the terms:
18 + 18n = 8(1 + 8n) + 9
18 + 18n = (1 * 8 + 8n * 8) + 9
18 + 18n = (8 + 64n) + 9

Reorder the terms:
18 + 18n = 8 + 9 + 64n

Combine like terms: 8 + 9 = 17
18 + 18n = 17 + 64n

Solving
18 + 18n = 17 + 64n

Solving for variable 'n'.

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

Add '-64n' to each side of the equation.
18 + 18n + -64n = 17 + 64n + -64n

Combine like terms: 18n + -64n = -46n
18 + -46n = 17 + 64n + -64n

Combine like terms: 64n + -64n = 0
18 + -46n = 17 + 0
18 + -46n = 17

Add '-18' to each side of the equation.
18 + -18 + -46n = 17 + -18

Combine like terms: 18 + -18 = 0
0 + -46n = 17 + -18
-46n = 17 + -18

Combine like terms: 17 + -18 = -1
-46n = -1

Divide each side by '-46'.
n = 0.02173913043

Simplifying
n = 0.02173913043

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