4(-24n-36)=-12(5n+39)

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Solution for 4(-24n-36)=-12(5n+39) equation:


Simplifying
4(-24n + -36) = -12(5n + 39)

Reorder the terms:
4(-36 + -24n) = -12(5n + 39)
(-36 * 4 + -24n * 4) = -12(5n + 39)
(-144 + -96n) = -12(5n + 39)

Reorder the terms:
-144 + -96n = -12(39 + 5n)
-144 + -96n = (39 * -12 + 5n * -12)
-144 + -96n = (-468 + -60n)

Solving
-144 + -96n = -468 + -60n

Solving for variable 'n'.

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

Add '60n' to each side of the equation.
-144 + -96n + 60n = -468 + -60n + 60n

Combine like terms: -96n + 60n = -36n
-144 + -36n = -468 + -60n + 60n

Combine like terms: -60n + 60n = 0
-144 + -36n = -468 + 0
-144 + -36n = -468

Add '144' to each side of the equation.
-144 + 144 + -36n = -468 + 144

Combine like terms: -144 + 144 = 0
0 + -36n = -468 + 144
-36n = -468 + 144

Combine like terms: -468 + 144 = -324
-36n = -324

Divide each side by '-36'.
n = 9

Simplifying
n = 9

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