22+2(4n+10)=10

Solution for 22+2(4n+10)=10 equation:

Simplifying
22 + 2(4n + 10) = 10

Reorder the terms:
22 + 2(10 + 4n) = 10
22 + (10 * 2 + 4n * 2) = 10
22 + (20 + 8n) = 10

Combine like terms: 22 + 20 = 42
42 + 8n = 10

Solving
42 + 8n = 10

Solving for variable 'n'.

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

Add '-42' to each side of the equation.
42 + -42 + 8n = 10 + -42

Combine like terms: 42 + -42 = 0
0 + 8n = 10 + -42
8n = 10 + -42

Combine like terms: 10 + -42 = -32
8n = -32

Divide each side by '8'.
n = -4

Simplifying
n = -4