2(n+2)+5(n+9)=

Solution for 2(n+2)+5(n+9)= equation:

Simplifying
2(n + 2) + 5(n + 9) = 0

Reorder the terms:
2(2 + n) + 5(n + 9) = 0
(2 * 2 + n * 2) + 5(n + 9) = 0
(4 + 2n) + 5(n + 9) = 0

Reorder the terms:
4 + 2n + 5(9 + n) = 0
4 + 2n + (9 * 5 + n * 5) = 0
4 + 2n + (45 + 5n) = 0

Reorder the terms:
4 + 45 + 2n + 5n = 0

Combine like terms: 4 + 45 = 49
49 + 2n + 5n = 0

Combine like terms: 2n + 5n = 7n
49 + 7n = 0

Solving
49 + 7n = 0

Solving for variable 'n'.

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

Add '-49' to each side of the equation.
49 + -49 + 7n = 0 + -49

Combine like terms: 49 + -49 = 0
0 + 7n = 0 + -49
7n = 0 + -49

Combine like terms: 0 + -49 = -49
7n = -49

Divide each side by '7'.
n = -7

Simplifying
n = -7