8(3n+2)=6(6n+8)+5

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Solution for 8(3n+2)=6(6n+8)+5 equation: 


Simplifying
8(3n + 2) = 6(6n + 8) + 5

Reorder the terms:
8(2 + 3n) = 6(6n + 8) + 5
(2 * 8 + 3n * 8) = 6(6n + 8) + 5
(16 + 24n) = 6(6n + 8) + 5

Reorder the terms:
16 + 24n = 6(8 + 6n) + 5
16 + 24n = (8 * 6 + 6n * 6) + 5
16 + 24n = (48 + 36n) + 5

Reorder the terms:
16 + 24n = 48 + 5 + 36n

Combine like terms: 48 + 5 = 53
16 + 24n = 53 + 36n

Solving
16 + 24n = 53 + 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 + 24n + -36n = 53 + 36n + -36n

Combine like terms: 24n + -36n = -12n
16 + -12n = 53 + 36n + -36n

Combine like terms: 36n + -36n = 0
16 + -12n = 53 + 0
16 + -12n = 53

Add '-16' to each side of the equation.
16 + -16 + -12n = 53 + -16

Combine like terms: 16 + -16 = 0
0 + -12n = 53 + -16
-12n = 53 + -16

Combine like terms: 53 + -16 = 37
-12n = 37

Divide each side by '-12'.
n = -3.083333333

Simplifying
n = -3.083333333

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