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

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


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

Reorder the terms:
12(-12 + 5n) = -9(1 + -5n)
(-12 * 12 + 5n * 12) = -9(1 + -5n)
(-144 + 60n) = -9(1 + -5n)
-144 + 60n = (1 * -9 + -5n * -9)
-144 + 60n = (-9 + 45n)

Solving
-144 + 60n = -9 + 45n

Solving for variable 'n'.

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

Add '-45n' to each side of the equation.
-144 + 60n + -45n = -9 + 45n + -45n

Combine like terms: 60n + -45n = 15n
-144 + 15n = -9 + 45n + -45n

Combine like terms: 45n + -45n = 0
-144 + 15n = -9 + 0
-144 + 15n = -9

Add '144' to each side of the equation.
-144 + 144 + 15n = -9 + 144

Combine like terms: -144 + 144 = 0
0 + 15n = -9 + 144
15n = -9 + 144

Combine like terms: -9 + 144 = 135
15n = 135

Divide each side by '15'.
n = 9

Simplifying
n = 9

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