5(n+9)+2(n-1)=

Solution for 5(n+9)+2(n-1)= equation:

Simplifying
5(n + 9) + 2(n + -1) = 0

Reorder the terms:
5(9 + n) + 2(n + -1) = 0
(9 * 5 + n * 5) + 2(n + -1) = 0
(45 + 5n) + 2(n + -1) = 0

Reorder the terms:
45 + 5n + 2(-1 + n) = 0
45 + 5n + (-1 * 2 + n * 2) = 0
45 + 5n + (-2 + 2n) = 0

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

Combine like terms: 45 + -2 = 43
43 + 5n + 2n = 0

Combine like terms: 5n + 2n = 7n
43 + 7n = 0

Solving
43 + 7n = 0

Solving for variable 'n'.

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

Add '-43' to each side of the equation.
43 + -43 + 7n = 0 + -43

Combine like terms: 43 + -43 = 0
0 + 7n = 0 + -43
7n = 0 + -43

Combine like terms: 0 + -43 = -43
7n = -43

Divide each side by '7'.
n = -6.142857143

Simplifying
n = -6.142857143