2(n-4)+2(n+5)=55

Solution for 2(n-4)+2(n+5)=55 equation:

Simplifying
2(n + -4) + 2(n + 5) = 55

Reorder the terms:
2(-4 + n) + 2(n + 5) = 55
(-4 * 2 + n * 2) + 2(n + 5) = 55
(-8 + 2n) + 2(n + 5) = 55

Reorder the terms:
-8 + 2n + 2(5 + n) = 55
-8 + 2n + (5 * 2 + n * 2) = 55
-8 + 2n + (10 + 2n) = 55

Reorder the terms:
-8 + 10 + 2n + 2n = 55

Combine like terms: -8 + 10 = 2
2 + 2n + 2n = 55

Combine like terms: 2n + 2n = 4n
2 + 4n = 55

Solving
2 + 4n = 55

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + 4n = 55 + -2

Combine like terms: 2 + -2 = 0
0 + 4n = 55 + -2
4n = 55 + -2

Combine like terms: 55 + -2 = 53
4n = 53

Divide each side by '4'.
n = 13.25

Simplifying
n = 13.25