5(1+5a)+1=106

Solution for 5(1+5a)+1=106 equation:

Simplifying
5(1 + 5a) + 1 = 106
(1 * 5 + 5a * 5) + 1 = 106
(5 + 25a) + 1 = 106

Reorder the terms:
5 + 1 + 25a = 106

Combine like terms: 5 + 1 = 6
6 + 25a = 106

Solving
6 + 25a = 106

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6 + 25a = 106 + -6

Combine like terms: 6 + -6 = 0
0 + 25a = 106 + -6
25a = 106 + -6

Combine like terms: 106 + -6 = 100
25a = 100

Divide each side by '25'.
a = 4

Simplifying
a = 4