-24(24n-20)=-24(33+7n)+16

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Solution for -24(24n-20)=-24(33+7n)+16 equation: 


Simplifying
-24(24n + -20) = -24(33 + 7n) + 16

Reorder the terms:
-24(-20 + 24n) = -24(33 + 7n) + 16
(-20 * -24 + 24n * -24) = -24(33 + 7n) + 16
(480 + -576n) = -24(33 + 7n) + 16
480 + -576n = (33 * -24 + 7n * -24) + 16
480 + -576n = (-792 + -168n) + 16

Reorder the terms:
480 + -576n = -792 + 16 + -168n

Combine like terms: -792 + 16 = -776
480 + -576n = -776 + -168n

Solving
480 + -576n = -776 + -168n

Solving for variable 'n'.

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

Add '168n' to each side of the equation.
480 + -576n + 168n = -776 + -168n + 168n

Combine like terms: -576n + 168n = -408n
480 + -408n = -776 + -168n + 168n

Combine like terms: -168n + 168n = 0
480 + -408n = -776 + 0
480 + -408n = -776

Add '-480' to each side of the equation.
480 + -480 + -408n = -776 + -480

Combine like terms: 480 + -480 = 0
0 + -408n = -776 + -480
-408n = -776 + -480

Combine like terms: -776 + -480 = -1256
-408n = -1256

Divide each side by '-408'.
n = 3.078431373

Simplifying
n = 3.078431373

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