2(3n+5)=8(3n+1)+8

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Solution for 2(3n+5)=8(3n+1)+8 equation: 


Simplifying
2(3n + 5) = 8(3n + 1) + 8

Reorder the terms:
2(5 + 3n) = 8(3n + 1) + 8
(5 * 2 + 3n * 2) = 8(3n + 1) + 8
(10 + 6n) = 8(3n + 1) + 8

Reorder the terms:
10 + 6n = 8(1 + 3n) + 8
10 + 6n = (1 * 8 + 3n * 8) + 8
10 + 6n = (8 + 24n) + 8

Reorder the terms:
10 + 6n = 8 + 8 + 24n

Combine like terms: 8 + 8 = 16
10 + 6n = 16 + 24n

Solving
10 + 6n = 16 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
10 + 6n + -24n = 16 + 24n + -24n

Combine like terms: 6n + -24n = -18n
10 + -18n = 16 + 24n + -24n

Combine like terms: 24n + -24n = 0
10 + -18n = 16 + 0
10 + -18n = 16

Add '-10' to each side of the equation.
10 + -10 + -18n = 16 + -10

Combine like terms: 10 + -10 = 0
0 + -18n = 16 + -10
-18n = 16 + -10

Combine like terms: 16 + -10 = 6
-18n = 6

Divide each side by '-18'.
n = -0.3333333333

Simplifying
n = -0.3333333333

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