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

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


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

Reorder the terms:
6(4 + 2n) = 8(9n + 4) + 3
(4 * 6 + 2n * 6) = 8(9n + 4) + 3
(24 + 12n) = 8(9n + 4) + 3

Reorder the terms:
24 + 12n = 8(4 + 9n) + 3
24 + 12n = (4 * 8 + 9n * 8) + 3
24 + 12n = (32 + 72n) + 3

Reorder the terms:
24 + 12n = 32 + 3 + 72n

Combine like terms: 32 + 3 = 35
24 + 12n = 35 + 72n

Solving
24 + 12n = 35 + 72n

Solving for variable 'n'.

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

Add '-72n' to each side of the equation.
24 + 12n + -72n = 35 + 72n + -72n

Combine like terms: 12n + -72n = -60n
24 + -60n = 35 + 72n + -72n

Combine like terms: 72n + -72n = 0
24 + -60n = 35 + 0
24 + -60n = 35

Add '-24' to each side of the equation.
24 + -24 + -60n = 35 + -24

Combine like terms: 24 + -24 = 0
0 + -60n = 35 + -24
-60n = 35 + -24

Combine like terms: 35 + -24 = 11
-60n = 11

Divide each side by '-60'.
n = -0.1833333333

Simplifying
n = -0.1833333333

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