4(9-n)+9(n-9)=

Solution for 4(9-n)+9(n-9)= equation:

Simplifying
4(9 + -1n) + 9(n + -9) = 0
(9 * 4 + -1n * 4) + 9(n + -9) = 0
(36 + -4n) + 9(n + -9) = 0

Reorder the terms:
36 + -4n + 9(-9 + n) = 0
36 + -4n + (-9 * 9 + n * 9) = 0
36 + -4n + (-81 + 9n) = 0

Reorder the terms:
36 + -81 + -4n + 9n = 0

Combine like terms: 36 + -81 = -45
-45 + -4n + 9n = 0

Combine like terms: -4n + 9n = 5n
-45 + 5n = 0

Solving
-45 + 5n = 0

Solving for variable 'n'.

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

Add '45' to each side of the equation.
-45 + 45 + 5n = 0 + 45

Combine like terms: -45 + 45 = 0
0 + 5n = 0 + 45
5n = 0 + 45

Combine like terms: 0 + 45 = 45
5n = 45

Divide each side by '5'.
n = 9

Simplifying
n = 9