3(n+1)+6(n+8)=

Solution for 3(n+1)+6(n+8)= equation:

Simplifying
3(n + 1) + 6(n + 8) = 0

Reorder the terms:
3(1 + n) + 6(n + 8) = 0
(1 * 3 + n * 3) + 6(n + 8) = 0
(3 + 3n) + 6(n + 8) = 0

Reorder the terms:
3 + 3n + 6(8 + n) = 0
3 + 3n + (8 * 6 + n * 6) = 0
3 + 3n + (48 + 6n) = 0

Reorder the terms:
3 + 48 + 3n + 6n = 0

Combine like terms: 3 + 48 = 51
51 + 3n + 6n = 0

Combine like terms: 3n + 6n = 9n
51 + 9n = 0

Solving
51 + 9n = 0

Solving for variable 'n'.

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

Add '-51' to each side of the equation.
51 + -51 + 9n = 0 + -51

Combine like terms: 51 + -51 = 0
0 + 9n = 0 + -51
9n = 0 + -51

Combine like terms: 0 + -51 = -51
9n = -51

Divide each side by '9'.
n = -5.666666667

Simplifying
n = -5.666666667