22=3+6(n+8)

Solution for 22=3+6(n+8) equation:

Simplifying
22 = 3 + 6(n + 8)

Reorder the terms:
22 = 3 + 6(8 + n)
22 = 3 + (8 * 6 + n * 6)
22 = 3 + (48 + 6n)

Combine like terms: 3 + 48 = 51
22 = 51 + 6n

Solving
22 = 51 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
22 + -6n = 51 + 6n + -6n

Combine like terms: 6n + -6n = 0
22 + -6n = 51 + 0
22 + -6n = 51

Add '-22' to each side of the equation.
22 + -22 + -6n = 51 + -22

Combine like terms: 22 + -22 = 0
0 + -6n = 51 + -22
-6n = 51 + -22

Combine like terms: 51 + -22 = 29
-6n = 29

Divide each side by '-6'.
n = -4.833333333

Simplifying
n = -4.833333333