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

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


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

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

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

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

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

Combine like terms: 5 + 4 = 9
-24 + 18n = 9 + 5n

Solving
-24 + 18n = 9 + 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 = 9 + 5n + -5n

Combine like terms: 18n + -5n = 13n
-24 + 13n = 9 + 5n + -5n

Combine like terms: 5n + -5n = 0
-24 + 13n = 9 + 0
-24 + 13n = 9

Add '24' to each side of the equation.
-24 + 24 + 13n = 9 + 24

Combine like terms: -24 + 24 = 0
0 + 13n = 9 + 24
13n = 9 + 24

Combine like terms: 9 + 24 = 33
13n = 33

Divide each side by '13'.
n = 2.538461538

Simplifying
n = 2.538461538

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