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

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

Simplifying
8(n + 9) + 4(n + -3) = 0

Reorder the terms:
8(9 + n) + 4(n + -3) = 0
(9 * 8 + n * 8) + 4(n + -3) = 0
(72 + 8n) + 4(n + -3) = 0

Reorder the terms:
72 + 8n + 4(-3 + n) = 0
72 + 8n + (-3 * 4 + n * 4) = 0
72 + 8n + (-12 + 4n) = 0

Reorder the terms:
72 + -12 + 8n + 4n = 0

Combine like terms: 72 + -12 = 60
60 + 8n + 4n = 0

Combine like terms: 8n + 4n = 12n
60 + 12n = 0

Solving
60 + 12n = 0

Solving for variable 'n'.

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

Add '-60' to each side of the equation.
60 + -60 + 12n = 0 + -60

Combine like terms: 60 + -60 = 0
0 + 12n = 0 + -60
12n = 0 + -60

Combine like terms: 0 + -60 = -60
12n = -60

Divide each side by '12'.
n = -5

Simplifying
n = -5