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

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


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

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

Combine like terms: 5n + -2n = 3n
2n = -5 + 3n

Solving
2n = -5 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
2n + -3n = -5 + 3n + -3n

Combine like terms: 2n + -3n = -1n
-1n = -5 + 3n + -3n

Combine like terms: 3n + -3n = 0
-1n = -5 + 0
-1n = -5

Divide each side by '-1'.
n = 5

Simplifying
n = 5

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