2(n-5)-6(n-5)=-64

Solution for 2(n-5)-6(n-5)=-64 equation:

Simplifying
2(n + -5) + -6(n + -5) = -64

Reorder the terms:
2(-5 + n) + -6(n + -5) = -64
(-5 * 2 + n * 2) + -6(n + -5) = -64
(-10 + 2n) + -6(n + -5) = -64

Reorder the terms:
-10 + 2n + -6(-5 + n) = -64
-10 + 2n + (-5 * -6 + n * -6) = -64
-10 + 2n + (30 + -6n) = -64

Reorder the terms:
-10 + 30 + 2n + -6n = -64

Combine like terms: -10 + 30 = 20
20 + 2n + -6n = -64

Combine like terms: 2n + -6n = -4n
20 + -4n = -64

Solving
20 + -4n = -64

Solving for variable 'n'.

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

Add '-20' to each side of the equation.
20 + -20 + -4n = -64 + -20

Combine like terms: 20 + -20 = 0
0 + -4n = -64 + -20
-4n = -64 + -20

Combine like terms: -64 + -20 = -84
-4n = -84

Divide each side by '-4'.
n = 21

Simplifying
n = 21