7(1+5n)+6(1+4n)=13

Solution for 7(1+5n)+6(1+4n)=13 equation:

Simplifying
7(1 + 5n) + 6(1 + 4n) = 13
(1 * 7 + 5n * 7) + 6(1 + 4n) = 13
(7 + 35n) + 6(1 + 4n) = 13
7 + 35n + (1 * 6 + 4n * 6) = 13
7 + 35n + (6 + 24n) = 13

Reorder the terms:
7 + 6 + 35n + 24n = 13

Combine like terms: 7 + 6 = 13
13 + 35n + 24n = 13

Combine like terms: 35n + 24n = 59n
13 + 59n = 13

Add '-13' to each side of the equation.
13 + -13 + 59n = 13 + -13

Combine like terms: 13 + -13 = 0
0 + 59n = 13 + -13
59n = 13 + -13

Combine like terms: 13 + -13 = 0
59n = 0

Solving
59n = 0

Solving for variable 'n'.

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

Divide each side by '59'.
n = 0

Simplifying
n = 0