8(12-n)=3(n+21)

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Solution for 8(12-n)=3(n+21) equation:


Simplifying
8(12 + -1n) = 3(n + 21)
(12 * 8 + -1n * 8) = 3(n + 21)
(96 + -8n) = 3(n + 21)

Reorder the terms:
96 + -8n = 3(21 + n)
96 + -8n = (21 * 3 + n * 3)
96 + -8n = (63 + 3n)

Solving
96 + -8n = 63 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
96 + -8n + -3n = 63 + 3n + -3n

Combine like terms: -8n + -3n = -11n
96 + -11n = 63 + 3n + -3n

Combine like terms: 3n + -3n = 0
96 + -11n = 63 + 0
96 + -11n = 63

Add '-96' to each side of the equation.
96 + -96 + -11n = 63 + -96

Combine like terms: 96 + -96 = 0
0 + -11n = 63 + -96
-11n = 63 + -96

Combine like terms: 63 + -96 = -33
-11n = -33

Divide each side by '-11'.
n = 3

Simplifying
n = 3

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