8-5(-8+4n)=-2n-24

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Solution for 8-5(-8+4n)=-2n-24 equation: 


Simplifying
8 + -5(-8 + 4n) = -2n + -24
8 + (-8 * -5 + 4n * -5) = -2n + -24
8 + (40 + -20n) = -2n + -24

Combine like terms: 8 + 40 = 48
48 + -20n = -2n + -24

Reorder the terms:
48 + -20n = -24 + -2n

Solving
48 + -20n = -24 + -2n

Solving for variable 'n'.

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

Add '2n' to each side of the equation.
48 + -20n + 2n = -24 + -2n + 2n

Combine like terms: -20n + 2n = -18n
48 + -18n = -24 + -2n + 2n

Combine like terms: -2n + 2n = 0
48 + -18n = -24 + 0
48 + -18n = -24

Add '-48' to each side of the equation.
48 + -48 + -18n = -24 + -48

Combine like terms: 48 + -48 = 0
0 + -18n = -24 + -48
-18n = -24 + -48

Combine like terms: -24 + -48 = -72
-18n = -72

Divide each side by '-18'.
n = 4

Simplifying
n = 4

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