10n+5(4n-8)=80

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Solution for 10n+5(4n-8)=80 equation:


Simplifying
10n + 5(4n + -8) = 80

Reorder the terms:
10n + 5(-8 + 4n) = 80
10n + (-8 * 5 + 4n * 5) = 80
10n + (-40 + 20n) = 80

Reorder the terms:
-40 + 10n + 20n = 80

Combine like terms: 10n + 20n = 30n
-40 + 30n = 80

Solving
-40 + 30n = 80

Solving for variable 'n'.

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

Add '40' to each side of the equation.
-40 + 40 + 30n = 80 + 40

Combine like terms: -40 + 40 = 0
0 + 30n = 80 + 40
30n = 80 + 40

Combine like terms: 80 + 40 = 120
30n = 120

Divide each side by '30'.
n = 4

Simplifying
n = 4

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