4(n+8)=-5n

Solution for 4(n+8)=-5n equation:

Simplifying
4(n + 8) = -5n

Reorder the terms:
4(8 + n) = -5n
(8 * 4 + n * 4) = -5n
(32 + 4n) = -5n

Solving
32 + 4n = -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
32 + 4n + 5n = -5n + 5n

Combine like terms: 4n + 5n = 9n
32 + 9n = -5n + 5n

Combine like terms: -5n + 5n = 0
32 + 9n = 0

Add '-32' to each side of the equation.
32 + -32 + 9n = 0 + -32

Combine like terms: 32 + -32 = 0
0 + 9n = 0 + -32
9n = 0 + -32

Combine like terms: 0 + -32 = -32
9n = -32

Divide each side by '9'.
n = -3.555555556

Simplifying
n = -3.555555556