5(n-5)=6n-6

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Solution for 5(n-5)=6n-6 equation:


Simplifying
5(n + -5) = 6n + -6

Reorder the terms:
5(-5 + n) = 6n + -6
(-5 * 5 + n * 5) = 6n + -6
(-25 + 5n) = 6n + -6

Reorder the terms:
-25 + 5n = -6 + 6n

Solving
-25 + 5n = -6 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-25 + 5n + -6n = -6 + 6n + -6n

Combine like terms: 5n + -6n = -1n
-25 + -1n = -6 + 6n + -6n

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

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

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

Combine like terms: -6 + 25 = 19
-1n = 19

Divide each side by '-1'.
n = -19

Simplifying
n = -19

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