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

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

Simplifying
7(4 + 5n) + 6(1 + 4n) = 13
(4 * 7 + 5n * 7) + 6(1 + 4n) = 13
(28 + 35n) + 6(1 + 4n) = 13
28 + 35n + (1 * 6 + 4n * 6) = 13
28 + 35n + (6 + 24n) = 13

Reorder the terms:
28 + 6 + 35n + 24n = 13

Combine like terms: 28 + 6 = 34
34 + 35n + 24n = 13

Combine like terms: 35n + 24n = 59n
34 + 59n = 13

Solving
34 + 59n = 13

Solving for variable 'n'.

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

Add '-34' to each side of the equation.
34 + -34 + 59n = 13 + -34

Combine like terms: 34 + -34 = 0
0 + 59n = 13 + -34
59n = 13 + -34

Combine like terms: 13 + -34 = -21
59n = -21

Divide each side by '59'.
n = -0.3559322034

Simplifying
n = -0.3559322034