6(n+5)+3(n+1)=

Solution for 6(n+5)+3(n+1)= equation:

Simplifying
6(n + 5) + 3(n + 1) = 0

Reorder the terms:
6(5 + n) + 3(n + 1) = 0
(5 * 6 + n * 6) + 3(n + 1) = 0
(30 + 6n) + 3(n + 1) = 0

Reorder the terms:
30 + 6n + 3(1 + n) = 0
30 + 6n + (1 * 3 + n * 3) = 0
30 + 6n + (3 + 3n) = 0

Reorder the terms:
30 + 3 + 6n + 3n = 0

Combine like terms: 30 + 3 = 33
33 + 6n + 3n = 0

Combine like terms: 6n + 3n = 9n
33 + 9n = 0

Solving
33 + 9n = 0

Solving for variable 'n'.

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

Add '-33' to each side of the equation.
33 + -33 + 9n = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 9n = 0 + -33
9n = 0 + -33

Combine like terms: 0 + -33 = -33
9n = -33

Divide each side by '9'.
n = -3.666666667

Simplifying
n = -3.666666667