9(n+4)+6(n+9)=

Solution for 9(n+4)+6(n+9)= equation:

Simplifying
9(n + 4) + 6(n + 9) = 0

Reorder the terms:
9(4 + n) + 6(n + 9) = 0
(4 * 9 + n * 9) + 6(n + 9) = 0
(36 + 9n) + 6(n + 9) = 0

Reorder the terms:
36 + 9n + 6(9 + n) = 0
36 + 9n + (9 * 6 + n * 6) = 0
36 + 9n + (54 + 6n) = 0

Reorder the terms:
36 + 54 + 9n + 6n = 0

Combine like terms: 36 + 54 = 90
90 + 9n + 6n = 0

Combine like terms: 9n + 6n = 15n
90 + 15n = 0

Solving
90 + 15n = 0

Solving for variable 'n'.

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

Add '-90' to each side of the equation.
90 + -90 + 15n = 0 + -90

Combine like terms: 90 + -90 = 0
0 + 15n = 0 + -90
15n = 0 + -90

Combine like terms: 0 + -90 = -90
15n = -90

Divide each side by '15'.
n = -6

Simplifying
n = -6