-2n+4(5-n)=2(2n+40)

Solution for -2n+4(5-n)=2(2n+40) equation:

Simplifying
-2n + 4(5 + -1n) = 2(2n + 40)
-2n + (5 * 4 + -1n * 4) = 2(2n + 40)
-2n + (20 + -4n) = 2(2n + 40)

Reorder the terms:
20 + -2n + -4n = 2(2n + 40)

Combine like terms: -2n + -4n = -6n
20 + -6n = 2(2n + 40)

Reorder the terms:
20 + -6n = 2(40 + 2n)
20 + -6n = (40 * 2 + 2n * 2)
20 + -6n = (80 + 4n)

Solving
20 + -6n = 80 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
20 + -6n + -4n = 80 + 4n + -4n

Combine like terms: -6n + -4n = -10n
20 + -10n = 80 + 4n + -4n

Combine like terms: 4n + -4n = 0
20 + -10n = 80 + 0
20 + -10n = 80

Add '-20' to each side of the equation.
20 + -20 + -10n = 80 + -20

Combine like terms: 20 + -20 = 0
0 + -10n = 80 + -20
-10n = 80 + -20

Combine like terms: 80 + -20 = 60
-10n = 60

Divide each side by '-10'.
n = -6

Simplifying
n = -6