-8n-2n=-5(n+9)-(n-5)

Solution for -8n-2n=-5(n+9)-(n-5) equation:

Simplifying
-8n + -2n = -5(n + 9) + -1(n + -5)

Combine like terms: -8n + -2n = -10n
-10n = -5(n + 9) + -1(n + -5)

Reorder the terms:
-10n = -5(9 + n) + -1(n + -5)
-10n = (9 * -5 + n * -5) + -1(n + -5)
-10n = (-45 + -5n) + -1(n + -5)

Reorder the terms:
-10n = -45 + -5n + -1(-5 + n)
-10n = -45 + -5n + (-5 * -1 + n * -1)
-10n = -45 + -5n + (5 + -1n)

Reorder the terms:
-10n = -45 + 5 + -5n + -1n

Combine like terms: -45 + 5 = -40
-10n = -40 + -5n + -1n

Combine like terms: -5n + -1n = -6n
-10n = -40 + -6n

Solving
-10n = -40 + -6n

Solving for variable 'n'.

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

Add '6n' to each side of the equation.
-10n + 6n = -40 + -6n + 6n

Combine like terms: -10n + 6n = -4n
-4n = -40 + -6n + 6n

Combine like terms: -6n + 6n = 0
-4n = -40 + 0
-4n = -40

Divide each side by '-4'.
n = 10

Simplifying
n = 10