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

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

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

Combine like terms: 1 + 5 = 6
7(6) + 6(1 + 4n) = 13

Multiply 7 * 6
42 + 6(1 + 4n) = 13
42 + (1 * 6 + 4n * 6) = 13
42 + (6 + 24n) = 13

Combine like terms: 42 + 6 = 48
48 + 24n = 13

Solving
48 + 24n = 13

Solving for variable 'n'.

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

Add '-48' to each side of the equation.
48 + -48 + 24n = 13 + -48

Combine like terms: 48 + -48 = 0
0 + 24n = 13 + -48
24n = 13 + -48

Combine like terms: 13 + -48 = -35
24n = -35

Divide each side by '24'.
n = -1.458333333

Simplifying
n = -1.458333333