5(n-9)-(6-n)=

Solution for 5(n-9)-(6-n)= equation:

Simplifying
5(n + -9) + -1(6 + -1n) = 0

Reorder the terms:
5(-9 + n) + -1(6 + -1n) = 0
(-9 * 5 + n * 5) + -1(6 + -1n) = 0
(-45 + 5n) + -1(6 + -1n) = 0
-45 + 5n + (6 * -1 + -1n * -1) = 0
-45 + 5n + (-6 + 1n) = 0

Reorder the terms:
-45 + -6 + 5n + 1n = 0

Combine like terms: -45 + -6 = -51
-51 + 5n + 1n = 0

Combine like terms: 5n + 1n = 6n
-51 + 6n = 0

Solving
-51 + 6n = 0

Solving for variable 'n'.

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

Add '51' to each side of the equation.
-51 + 51 + 6n = 0 + 51

Combine like terms: -51 + 51 = 0
0 + 6n = 0 + 51
6n = 0 + 51

Combine like terms: 0 + 51 = 51
6n = 51

Divide each side by '6'.
n = 8.5

Simplifying
n = 8.5