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

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

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

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

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

Solving
21 + 3n = -6 + -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.
21 + 3n + 6n = -6 + -6n + 6n

Combine like terms: 3n + 6n = 9n
21 + 9n = -6 + -6n + 6n

Combine like terms: -6n + 6n = 0
21 + 9n = -6 + 0
21 + 9n = -6

Add '-21' to each side of the equation.
21 + -21 + 9n = -6 + -21

Combine like terms: 21 + -21 = 0
0 + 9n = -6 + -21
9n = -6 + -21

Combine like terms: -6 + -21 = -27
9n = -27

Divide each side by '9'.
n = -3

Simplifying
n = -3