8(3n-1)=(9n+6)+4

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Solution for 8(3n-1)=(9n+6)+4 equation:


Simplifying
8(3n + -1) = (9n + 6) + 4

Reorder the terms:
8(-1 + 3n) = (9n + 6) + 4
(-1 * 8 + 3n * 8) = (9n + 6) + 4
(-8 + 24n) = (9n + 6) + 4

Reorder the terms:
-8 + 24n = (6 + 9n) + 4

Remove parenthesis around (6 + 9n)
-8 + 24n = 6 + 9n + 4

Reorder the terms:
-8 + 24n = 6 + 4 + 9n

Combine like terms: 6 + 4 = 10
-8 + 24n = 10 + 9n

Solving
-8 + 24n = 10 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
-8 + 24n + -9n = 10 + 9n + -9n

Combine like terms: 24n + -9n = 15n
-8 + 15n = 10 + 9n + -9n

Combine like terms: 9n + -9n = 0
-8 + 15n = 10 + 0
-8 + 15n = 10

Add '8' to each side of the equation.
-8 + 8 + 15n = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 15n = 10 + 8
15n = 10 + 8

Combine like terms: 10 + 8 = 18
15n = 18

Divide each side by '15'.
n = 1.2

Simplifying
n = 1.2

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