2N+19=2(2(5)+1+19)+1

Solution for 2N+19=2(2(5)+1+19)+1 equation:

Simplifying
2N + 19 = 2(2(5) + 1 + 19) + 1

Reorder the terms:
19 + 2N = 2(2(5) + 1 + 19) + 1

Multiply 2 * 5
19 + 2N = 2(10 + 1 + 19) + 1

Combine like terms: 10 + 1 = 11
19 + 2N = 2(11 + 19) + 1

Combine like terms: 11 + 19 = 30
19 + 2N = 2(30) + 1

Multiply 2 * 30
19 + 2N = 60 + 1

Combine like terms: 60 + 1 = 61
19 + 2N = 61

Solving
19 + 2N = 61

Solving for variable 'N'.

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

Add '-19' to each side of the equation.
19 + -19 + 2N = 61 + -19

Combine like terms: 19 + -19 = 0
0 + 2N = 61 + -19
2N = 61 + -19

Combine like terms: 61 + -19 = 42
2N = 42

Divide each side by '2'.
N = 21

Simplifying
N = 21