N+(24+N)+(3N-37)=512

Solution for N+(24+N)+(3N-37)=512 equation:

Simplifying
N + (24 + N) + (3N + -37) = 512

Remove parenthesis around (24 + N)
N + 24 + N + (3N + -37) = 512

Reorder the terms:
N + 24 + N + (-37 + 3N) = 512

Remove parenthesis around (-37 + 3N)
N + 24 + N + -37 + 3N = 512

Reorder the terms:
24 + -37 + N + N + 3N = 512

Combine like terms: 24 + -37 = -13
-13 + N + N + 3N = 512

Combine like terms: N + N = 2N
-13 + 2N + 3N = 512

Combine like terms: 2N + 3N = 5N
-13 + 5N = 512

Solving
-13 + 5N = 512

Solving for variable 'N'.

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

Add '13' to each side of the equation.
-13 + 13 + 5N = 512 + 13

Combine like terms: -13 + 13 = 0
0 + 5N = 512 + 13
5N = 512 + 13

Combine like terms: 512 + 13 = 525
5N = 525

Divide each side by '5'.
N = 105

Simplifying
N = 105