5(5n-2)-14n=-3n-(5-4n)

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Solution for 5(5n-2)-14n=-3n-(5-4n) equation:


Simplifying
5(5n + -2) + -14n = -3n + -1(5 + -4n)

Reorder the terms:
5(-2 + 5n) + -14n = -3n + -1(5 + -4n)
(-2 * 5 + 5n * 5) + -14n = -3n + -1(5 + -4n)
(-10 + 25n) + -14n = -3n + -1(5 + -4n)

Combine like terms: 25n + -14n = 11n
-10 + 11n = -3n + -1(5 + -4n)
-10 + 11n = -3n + (5 * -1 + -4n * -1)
-10 + 11n = -3n + (-5 + 4n)

Reorder the terms:
-10 + 11n = -5 + -3n + 4n

Combine like terms: -3n + 4n = 1n
-10 + 11n = -5 + 1n

Solving
-10 + 11n = -5 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
-10 + 11n + -1n = -5 + 1n + -1n

Combine like terms: 11n + -1n = 10n
-10 + 10n = -5 + 1n + -1n

Combine like terms: 1n + -1n = 0
-10 + 10n = -5 + 0
-10 + 10n = -5

Add '10' to each side of the equation.
-10 + 10 + 10n = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 10n = -5 + 10
10n = -5 + 10

Combine like terms: -5 + 10 = 5
10n = 5

Divide each side by '10'.
n = 0.5

Simplifying
n = 0.5

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