(2n+1)+(2n+3)=100

Solution for (2n+1)+(2n+3)=100 equation:

Simplifying
(2n + 1) + (2n + 3) = 100

Reorder the terms:
(1 + 2n) + (2n + 3) = 100

Remove parenthesis around (1 + 2n)
1 + 2n + (2n + 3) = 100

Reorder the terms:
1 + 2n + (3 + 2n) = 100

Remove parenthesis around (3 + 2n)
1 + 2n + 3 + 2n = 100

Reorder the terms:
1 + 3 + 2n + 2n = 100

Combine like terms: 1 + 3 = 4
4 + 2n + 2n = 100

Combine like terms: 2n + 2n = 4n
4 + 4n = 100

Solving
4 + 4n = 100

Solving for variable 'n'.

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

Add '-4' to each side of the equation.
4 + -4 + 4n = 100 + -4

Combine like terms: 4 + -4 = 0
0 + 4n = 100 + -4
4n = 100 + -4

Combine like terms: 100 + -4 = 96
4n = 96

Divide each side by '4'.
n = 24

Simplifying
n = 24