8(1+3n)=-6n+38

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Solution for 8(1+3n)=-6n+38 equation: 


Simplifying
8(1 + 3n) = -6n + 38
(1 * 8 + 3n * 8) = -6n + 38
(8 + 24n) = -6n + 38

Reorder the terms:
8 + 24n = 38 + -6n

Solving
8 + 24n = 38 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
8 + 24n + 6n = 38 + -6n + 6n

Combine like terms: 24n + 6n = 30n
8 + 30n = 38 + -6n + 6n

Combine like terms: -6n + 6n = 0
8 + 30n = 38 + 0
8 + 30n = 38

Add '-8' to each side of the equation.
8 + -8 + 30n = 38 + -8

Combine like terms: 8 + -8 = 0
0 + 30n = 38 + -8
30n = 38 + -8

Combine like terms: 38 + -8 = 30
30n = 30

Divide each side by '30'.
n = 1

Simplifying
n = 1

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