5(1-5n)-9=9-12n

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Solution for 5(1-5n)-9=9-12n equation:


Simplifying
5(1 + -5n) + -9 = 9 + -12n
(1 * 5 + -5n * 5) + -9 = 9 + -12n
(5 + -25n) + -9 = 9 + -12n

Reorder the terms:
5 + -9 + -25n = 9 + -12n

Combine like terms: 5 + -9 = -4
-4 + -25n = 9 + -12n

Solving
-4 + -25n = 9 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
-4 + -25n + 12n = 9 + -12n + 12n

Combine like terms: -25n + 12n = -13n
-4 + -13n = 9 + -12n + 12n

Combine like terms: -12n + 12n = 0
-4 + -13n = 9 + 0
-4 + -13n = 9

Add '4' to each side of the equation.
-4 + 4 + -13n = 9 + 4

Combine like terms: -4 + 4 = 0
0 + -13n = 9 + 4
-13n = 9 + 4

Combine like terms: 9 + 4 = 13
-13n = 13

Divide each side by '-13'.
n = -1

Simplifying
n = -1

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