3(7n+1)=3(6n+6)

Solution for 3(7n+1)=3(6n+6) equation:

Simplifying
3(7n + 1) = 3(6n + 6)

Reorder the terms:
3(1 + 7n) = 3(6n + 6)
(1 * 3 + 7n * 3) = 3(6n + 6)
(3 + 21n) = 3(6n + 6)

Reorder the terms:
3 + 21n = 3(6 + 6n)
3 + 21n = (6 * 3 + 6n * 3)
3 + 21n = (18 + 18n)

Solving
3 + 21n = 18 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
3 + 21n + -18n = 18 + 18n + -18n

Combine like terms: 21n + -18n = 3n
3 + 3n = 18 + 18n + -18n

Combine like terms: 18n + -18n = 0
3 + 3n = 18 + 0
3 + 3n = 18

Add '-3' to each side of the equation.
3 + -3 + 3n = 18 + -3

Combine like terms: 3 + -3 = 0
0 + 3n = 18 + -3
3n = 18 + -3

Combine like terms: 18 + -3 = 15
3n = 15

Divide each side by '3'.
n = 5

Simplifying
n = 5