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

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


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

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

Reorder the terms:
-24 + 18n = (2 + 5n) + 4

Remove parenthesis around (2 + 5n)
-24 + 18n = 2 + 5n + 4

Reorder the terms:
-24 + 18n = 2 + 4 + 5n

Combine like terms: 2 + 4 = 6
-24 + 18n = 6 + 5n

Solving
-24 + 18n = 6 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
-24 + 18n + -5n = 6 + 5n + -5n

Combine like terms: 18n + -5n = 13n
-24 + 13n = 6 + 5n + -5n

Combine like terms: 5n + -5n = 0
-24 + 13n = 6 + 0
-24 + 13n = 6

Add '24' to each side of the equation.
-24 + 24 + 13n = 6 + 24

Combine like terms: -24 + 24 = 0
0 + 13n = 6 + 24
13n = 6 + 24

Combine like terms: 6 + 24 = 30
13n = 30

Divide each side by '13'.
n = 2.307692308

Simplifying
n = 2.307692308

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