6(3n+4)=8(5n+8)+2

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Solution for 6(3n+4)=8(5n+8)+2 equation: 


Simplifying
6(3n + 4) = 8(5n + 8) + 2

Reorder the terms:
6(4 + 3n) = 8(5n + 8) + 2
(4 * 6 + 3n * 6) = 8(5n + 8) + 2
(24 + 18n) = 8(5n + 8) + 2

Reorder the terms:
24 + 18n = 8(8 + 5n) + 2
24 + 18n = (8 * 8 + 5n * 8) + 2
24 + 18n = (64 + 40n) + 2

Reorder the terms:
24 + 18n = 64 + 2 + 40n

Combine like terms: 64 + 2 = 66
24 + 18n = 66 + 40n

Solving
24 + 18n = 66 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
24 + 18n + -40n = 66 + 40n + -40n

Combine like terms: 18n + -40n = -22n
24 + -22n = 66 + 40n + -40n

Combine like terms: 40n + -40n = 0
24 + -22n = 66 + 0
24 + -22n = 66

Add '-24' to each side of the equation.
24 + -24 + -22n = 66 + -24

Combine like terms: 24 + -24 = 0
0 + -22n = 66 + -24
-22n = 66 + -24

Combine like terms: 66 + -24 = 42
-22n = 42

Divide each side by '-22'.
n = -1.909090909

Simplifying
n = -1.909090909

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