2(4-3n)=4(n-5)

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Solution for 2(4-3n)=4(n-5) equation: 


Simplifying
2(4 + -3n) = 4(n + -5)
(4 * 2 + -3n * 2) = 4(n + -5)
(8 + -6n) = 4(n + -5)

Reorder the terms:
8 + -6n = 4(-5 + n)
8 + -6n = (-5 * 4 + n * 4)
8 + -6n = (-20 + 4n)

Solving
8 + -6n = -20 + 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.
8 + -6n + -4n = -20 + 4n + -4n

Combine like terms: -6n + -4n = -10n
8 + -10n = -20 + 4n + -4n

Combine like terms: 4n + -4n = 0
8 + -10n = -20 + 0
8 + -10n = -20

Add '-8' to each side of the equation.
8 + -8 + -10n = -20 + -8

Combine like terms: 8 + -8 = 0
0 + -10n = -20 + -8
-10n = -20 + -8

Combine like terms: -20 + -8 = -28
-10n = -28

Divide each side by '-10'.
n = 2.8

Simplifying
n = 2.8

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