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

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


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

Reorder the terms:
3(4 + 2n) = 8(9n + 1) + 8
(4 * 3 + 2n * 3) = 8(9n + 1) + 8
(12 + 6n) = 8(9n + 1) + 8

Reorder the terms:
12 + 6n = 8(1 + 9n) + 8
12 + 6n = (1 * 8 + 9n * 8) + 8
12 + 6n = (8 + 72n) + 8

Reorder the terms:
12 + 6n = 8 + 8 + 72n

Combine like terms: 8 + 8 = 16
12 + 6n = 16 + 72n

Solving
12 + 6n = 16 + 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.
12 + 6n + -72n = 16 + 72n + -72n

Combine like terms: 6n + -72n = -66n
12 + -66n = 16 + 72n + -72n

Combine like terms: 72n + -72n = 0
12 + -66n = 16 + 0
12 + -66n = 16

Add '-12' to each side of the equation.
12 + -12 + -66n = 16 + -12

Combine like terms: 12 + -12 = 0
0 + -66n = 16 + -12
-66n = 16 + -12

Combine like terms: 16 + -12 = 4
-66n = 4

Divide each side by '-66'.
n = -0.06060606061

Simplifying
n = -0.06060606061

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