15n-2=5(n-1)+6n

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Solution for 15n-2=5(n-1)+6n equation: 


Simplifying
15n + -2 = 5(n + -1) + 6n

Reorder the terms:
-2 + 15n = 5(n + -1) + 6n

Reorder the terms:
-2 + 15n = 5(-1 + n) + 6n
-2 + 15n = (-1 * 5 + n * 5) + 6n
-2 + 15n = (-5 + 5n) + 6n

Combine like terms: 5n + 6n = 11n
-2 + 15n = -5 + 11n

Solving
-2 + 15n = -5 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
-2 + 15n + -11n = -5 + 11n + -11n

Combine like terms: 15n + -11n = 4n
-2 + 4n = -5 + 11n + -11n

Combine like terms: 11n + -11n = 0
-2 + 4n = -5 + 0
-2 + 4n = -5

Add '2' to each side of the equation.
-2 + 2 + 4n = -5 + 2

Combine like terms: -2 + 2 = 0
0 + 4n = -5 + 2
4n = -5 + 2

Combine like terms: -5 + 2 = -3
4n = -3

Divide each side by '4'.
n = -0.75

Simplifying
n = -0.75

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