6(1+5n)-5(1+2n)=1

Solution for 6(1+5n)-5(1+2n)=1 equation:

Simplifying
6(1 + 5n) + -5(1 + 2n) = 1
(1 * 6 + 5n * 6) + -5(1 + 2n) = 1
(6 + 30n) + -5(1 + 2n) = 1
6 + 30n + (1 * -5 + 2n * -5) = 1
6 + 30n + (-5 + -10n) = 1

Reorder the terms:
6 + -5 + 30n + -10n = 1

Combine like terms: 6 + -5 = 1
1 + 30n + -10n = 1

Combine like terms: 30n + -10n = 20n
1 + 20n = 1

Add '-1' to each side of the equation.
1 + -1 + 20n = 1 + -1

Combine like terms: 1 + -1 = 0
0 + 20n = 1 + -1
20n = 1 + -1

Combine like terms: 1 + -1 = 0
20n = 0

Solving
20n = 0

Solving for variable 'n'.

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

Divide each side by '20'.
n = 0.0

Simplifying
n = 0.0