-5+8(6+5n)=-3n

Solution for -5+8(6+5n)=-3n equation:

Simplifying
-5 + 8(6 + 5n) = -3n
-5 + (6 * 8 + 5n * 8) = -3n
-5 + (48 + 40n) = -3n

Combine like terms: -5 + 48 = 43
43 + 40n = -3n

Solving
43 + 40n = -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
43 + 40n + 3n = -3n + 3n

Combine like terms: 40n + 3n = 43n
43 + 43n = -3n + 3n

Combine like terms: -3n + 3n = 0
43 + 43n = 0

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

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

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

Divide each side by '43'.
n = -1

Simplifying
n = -1