33=3+8(n+9)

Solution for 33=3+8(n+9) equation:

Simplifying
33 = 3 + 8(n + 9)

Reorder the terms:
33 = 3 + 8(9 + n)
33 = 3 + (9 * 8 + n * 8)
33 = 3 + (72 + 8n)

Combine like terms: 3 + 72 = 75
33 = 75 + 8n

Solving
33 = 75 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
33 + -8n = 75 + 8n + -8n

Combine like terms: 8n + -8n = 0
33 + -8n = 75 + 0
33 + -8n = 75

Add '-33' to each side of the equation.
33 + -33 + -8n = 75 + -33

Combine like terms: 33 + -33 = 0
0 + -8n = 75 + -33
-8n = 75 + -33

Combine like terms: 75 + -33 = 42
-8n = 42

Divide each side by '-8'.
n = -5.25

Simplifying
n = -5.25