8(1+3n)=4(6+5n)

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Solution for 8(1+3n)=4(6+5n) equation: 


Simplifying
8(1 + 3n) = 4(6 + 5n)
(1 * 8 + 3n * 8) = 4(6 + 5n)
(8 + 24n) = 4(6 + 5n)
8 + 24n = (6 * 4 + 5n * 4)
8 + 24n = (24 + 20n)

Solving
8 + 24n = 24 + 20n

Solving for variable 'n'.

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

Add '-20n' to each side of the equation.
8 + 24n + -20n = 24 + 20n + -20n

Combine like terms: 24n + -20n = 4n
8 + 4n = 24 + 20n + -20n

Combine like terms: 20n + -20n = 0
8 + 4n = 24 + 0
8 + 4n = 24

Add '-8' to each side of the equation.
8 + -8 + 4n = 24 + -8

Combine like terms: 8 + -8 = 0
0 + 4n = 24 + -8
4n = 24 + -8

Combine like terms: 24 + -8 = 16
4n = 16

Divide each side by '4'.
n = 4

Simplifying
n = 4

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