8(3+5n)=5(6n+4)+14

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Solution for 8(3+5n)=5(6n+4)+14 equation: 


Simplifying
8(3 + 5n) = 5(6n + 4) + 14
(3 * 8 + 5n * 8) = 5(6n + 4) + 14
(24 + 40n) = 5(6n + 4) + 14

Reorder the terms:
24 + 40n = 5(4 + 6n) + 14
24 + 40n = (4 * 5 + 6n * 5) + 14
24 + 40n = (20 + 30n) + 14

Reorder the terms:
24 + 40n = 20 + 14 + 30n

Combine like terms: 20 + 14 = 34
24 + 40n = 34 + 30n

Solving
24 + 40n = 34 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
24 + 40n + -30n = 34 + 30n + -30n

Combine like terms: 40n + -30n = 10n
24 + 10n = 34 + 30n + -30n

Combine like terms: 30n + -30n = 0
24 + 10n = 34 + 0
24 + 10n = 34

Add '-24' to each side of the equation.
24 + -24 + 10n = 34 + -24

Combine like terms: 24 + -24 = 0
0 + 10n = 34 + -24
10n = 34 + -24

Combine like terms: 34 + -24 = 10
10n = 10

Divide each side by '10'.
n = 1

Simplifying
n = 1

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