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

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

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

Reorder the terms:
6(1 + 3n) = 7(6n + 6) + 7
(1 * 6 + 3n * 6) = 7(6n + 6) + 7
(6 + 18n) = 7(6n + 6) + 7

Reorder the terms:
6 + 18n = 7(6 + 6n) + 7
6 + 18n = (6 * 7 + 6n * 7) + 7
6 + 18n = (42 + 42n) + 7

Reorder the terms:
6 + 18n = 42 + 7 + 42n

Combine like terms: 42 + 7 = 49
6 + 18n = 49 + 42n

Solving
6 + 18n = 49 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
6 + 18n + -42n = 49 + 42n + -42n

Combine like terms: 18n + -42n = -24n
6 + -24n = 49 + 42n + -42n

Combine like terms: 42n + -42n = 0
6 + -24n = 49 + 0
6 + -24n = 49

Add '-6' to each side of the equation.
6 + -6 + -24n = 49 + -6

Combine like terms: 6 + -6 = 0
0 + -24n = 49 + -6
-24n = 49 + -6

Combine like terms: 49 + -6 = 43
-24n = 43

Divide each side by '-24'.
n = -1.791666667

Simplifying
n = -1.791666667