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

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

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

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

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

Solving
6 + 6n = -18 + -6n

Solving for variable 'n'.

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

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

Combine like terms: 6n + 6n = 12n
6 + 12n = -18 + -6n + 6n

Combine like terms: -6n + 6n = 0
6 + 12n = -18 + 0
6 + 12n = -18

Add '-6' to each side of the equation.
6 + -6 + 12n = -18 + -6

Combine like terms: 6 + -6 = 0
0 + 12n = -18 + -6
12n = -18 + -6

Combine like terms: -18 + -6 = -24
12n = -24

Divide each side by '12'.
n = -2

Simplifying
n = -2