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

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


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

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

Reorder the terms:
16 + 24n = 6(3 + 8n) + 2
16 + 24n = (3 * 6 + 8n * 6) + 2
16 + 24n = (18 + 48n) + 2

Reorder the terms:
16 + 24n = 18 + 2 + 48n

Combine like terms: 18 + 2 = 20
16 + 24n = 20 + 48n

Solving
16 + 24n = 20 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
16 + 24n + -48n = 20 + 48n + -48n

Combine like terms: 24n + -48n = -24n
16 + -24n = 20 + 48n + -48n

Combine like terms: 48n + -48n = 0
16 + -24n = 20 + 0
16 + -24n = 20

Add '-16' to each side of the equation.
16 + -16 + -24n = 20 + -16

Combine like terms: 16 + -16 = 0
0 + -24n = 20 + -16
-24n = 20 + -16

Combine like terms: 20 + -16 = 4
-24n = 4

Divide each side by '-24'.
n = -0.1666666667

Simplifying
n = -0.1666666667

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