9(n-11)+4(n+4)=34

Solution for 9(n-11)+4(n+4)=34 equation:

Simplifying
9(n + -11) + 4(n + 4) = 34

Reorder the terms:
9(-11 + n) + 4(n + 4) = 34
(-11 * 9 + n * 9) + 4(n + 4) = 34
(-99 + 9n) + 4(n + 4) = 34

Reorder the terms:
-99 + 9n + 4(4 + n) = 34
-99 + 9n + (4 * 4 + n * 4) = 34
-99 + 9n + (16 + 4n) = 34

Reorder the terms:
-99 + 16 + 9n + 4n = 34

Combine like terms: -99 + 16 = -83
-83 + 9n + 4n = 34

Combine like terms: 9n + 4n = 13n
-83 + 13n = 34

Solving
-83 + 13n = 34

Solving for variable 'n'.

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

Add '83' to each side of the equation.
-83 + 83 + 13n = 34 + 83

Combine like terms: -83 + 83 = 0
0 + 13n = 34 + 83
13n = 34 + 83

Combine like terms: 34 + 83 = 117
13n = 117

Divide each side by '13'.
n = 9

Simplifying
n = 9