5(n-1)=5-5n

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


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

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

Solving
-5 + 5n = 5 + -5n

Solving for variable 'n'.

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

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

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

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

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

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

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

Divide each side by '10'.
n = 1

Simplifying
n = 1

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