5(2n-5)=4n-1

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Solution for 5(2n-5)=4n-1 equation:


Simplifying
5(2n + -5) = 4n + -1

Reorder the terms:
5(-5 + 2n) = 4n + -1
(-5 * 5 + 2n * 5) = 4n + -1
(-25 + 10n) = 4n + -1

Reorder the terms:
-25 + 10n = -1 + 4n

Solving
-25 + 10n = -1 + 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.
-25 + 10n + -4n = -1 + 4n + -4n

Combine like terms: 10n + -4n = 6n
-25 + 6n = -1 + 4n + -4n

Combine like terms: 4n + -4n = 0
-25 + 6n = -1 + 0
-25 + 6n = -1

Add '25' to each side of the equation.
-25 + 25 + 6n = -1 + 25

Combine like terms: -25 + 25 = 0
0 + 6n = -1 + 25
6n = -1 + 25

Combine like terms: -1 + 25 = 24
6n = 24

Divide each side by '6'.
n = 4

Simplifying
n = 4

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