6(1+4n)=40+7n

Solution for 6(1+4n)=40+7n equation:

Simplifying
6(1 + 4n) = 40 + 7n
(1 * 6 + 4n * 6) = 40 + 7n
(6 + 24n) = 40 + 7n

Solving
6 + 24n = 40 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
6 + 24n + -7n = 40 + 7n + -7n

Combine like terms: 24n + -7n = 17n
6 + 17n = 40 + 7n + -7n

Combine like terms: 7n + -7n = 0
6 + 17n = 40 + 0
6 + 17n = 40

Add '-6' to each side of the equation.
6 + -6 + 17n = 40 + -6

Combine like terms: 6 + -6 = 0
0 + 17n = 40 + -6
17n = 40 + -6

Combine like terms: 40 + -6 = 34
17n = 34

Divide each side by '17'.
n = 2

Simplifying
n = 2