5(4n+5)=105

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Solution for 5(4n+5)=105 equation:


Simplifying
5(4n + 5) = 105

Reorder the terms:
5(5 + 4n) = 105
(5 * 5 + 4n * 5) = 105
(25 + 20n) = 105

Solving
25 + 20n = 105

Solving for variable 'n'.

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

Add '-25' to each side of the equation.
25 + -25 + 20n = 105 + -25

Combine like terms: 25 + -25 = 0
0 + 20n = 105 + -25
20n = 105 + -25

Combine like terms: 105 + -25 = 80
20n = 80

Divide each side by '20'.
n = 4

Simplifying
n = 4

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