6(6n+1)=2(15n+15)+12

Solution for 6(6n+1)=2(15n+15)+12 equation:

Simplifying
6(6n + 1) = 2(15n + 15) + 12

Reorder the terms:
6(1 + 6n) = 2(15n + 15) + 12
(1 * 6 + 6n * 6) = 2(15n + 15) + 12
(6 + 36n) = 2(15n + 15) + 12

Reorder the terms:
6 + 36n = 2(15 + 15n) + 12
6 + 36n = (15 * 2 + 15n * 2) + 12
6 + 36n = (30 + 30n) + 12

Reorder the terms:
6 + 36n = 30 + 12 + 30n

Combine like terms: 30 + 12 = 42
6 + 36n = 42 + 30n

Solving
6 + 36n = 42 + 30n

Solving for variable 'n'.

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

Add '-30n' to each side of the equation.
6 + 36n + -30n = 42 + 30n + -30n

Combine like terms: 36n + -30n = 6n
6 + 6n = 42 + 30n + -30n

Combine like terms: 30n + -30n = 0
6 + 6n = 42 + 0
6 + 6n = 42

Add '-6' to each side of the equation.
6 + -6 + 6n = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 6n = 42 + -6
6n = 42 + -6

Combine like terms: 42 + -6 = 36
6n = 36

Divide each side by '6'.
n = 6

Simplifying
n = 6