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

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


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

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

Reorder the terms:
16 + 24n = 8(3 + 8n) + 6
16 + 24n = (3 * 8 + 8n * 8) + 6
16 + 24n = (24 + 64n) + 6

Reorder the terms:
16 + 24n = 24 + 6 + 64n

Combine like terms: 24 + 6 = 30
16 + 24n = 30 + 64n

Solving
16 + 24n = 30 + 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.
16 + 24n + -64n = 30 + 64n + -64n

Combine like terms: 24n + -64n = -40n
16 + -40n = 30 + 64n + -64n

Combine like terms: 64n + -64n = 0
16 + -40n = 30 + 0
16 + -40n = 30

Add '-16' to each side of the equation.
16 + -16 + -40n = 30 + -16

Combine like terms: 16 + -16 = 0
0 + -40n = 30 + -16
-40n = 30 + -16

Combine like terms: 30 + -16 = 14
-40n = 14

Divide each side by '-40'.
n = -0.35

Simplifying
n = -0.35

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