6(1+6n)=35+7n

Solution for 6(1+6n)=35+7n equation:

Simplifying
6(1 + 6n) = 35 + 7n
(1 * 6 + 6n * 6) = 35 + 7n
(6 + 36n) = 35 + 7n

Solving
6 + 36n = 35 + 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 + 36n + -7n = 35 + 7n + -7n

Combine like terms: 36n + -7n = 29n
6 + 29n = 35 + 7n + -7n

Combine like terms: 7n + -7n = 0
6 + 29n = 35 + 0
6 + 29n = 35

Add '-6' to each side of the equation.
6 + -6 + 29n = 35 + -6

Combine like terms: 6 + -6 = 0
0 + 29n = 35 + -6
29n = 35 + -6

Combine like terms: 35 + -6 = 29
29n = 29

Divide each side by '29'.
n = 1

Simplifying
n = 1