-4(-2+10n)=-4-4(11n+2)

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Solution for -4(-2+10n)=-4-4(11n+2) equation: 


Simplifying
-4(-2 + 10n) = -4 + -4(11n + 2)
(-2 * -4 + 10n * -4) = -4 + -4(11n + 2)
(8 + -40n) = -4 + -4(11n + 2)

Reorder the terms:
8 + -40n = -4 + -4(2 + 11n)
8 + -40n = -4 + (2 * -4 + 11n * -4)
8 + -40n = -4 + (-8 + -44n)

Combine like terms: -4 + -8 = -12
8 + -40n = -12 + -44n

Solving
8 + -40n = -12 + -44n

Solving for variable 'n'.

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

Add '44n' to each side of the equation.
8 + -40n + 44n = -12 + -44n + 44n

Combine like terms: -40n + 44n = 4n
8 + 4n = -12 + -44n + 44n

Combine like terms: -44n + 44n = 0
8 + 4n = -12 + 0
8 + 4n = -12

Add '-8' to each side of the equation.
8 + -8 + 4n = -12 + -8

Combine like terms: 8 + -8 = 0
0 + 4n = -12 + -8
4n = -12 + -8

Combine like terms: -12 + -8 = -20
4n = -20

Divide each side by '4'.
n = -5

Simplifying
n = -5

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