21-8n=-12n+3(n+4)

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Solution for 21-8n=-12n+3(n+4) equation: 


Simplifying
21 + -8n = -12n + 3(n + 4)

Reorder the terms:
21 + -8n = -12n + 3(4 + n)
21 + -8n = -12n + (4 * 3 + n * 3)
21 + -8n = -12n + (12 + 3n)

Reorder the terms:
21 + -8n = 12 + -12n + 3n

Combine like terms: -12n + 3n = -9n
21 + -8n = 12 + -9n

Solving
21 + -8n = 12 + -9n

Solving for variable 'n'.

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

Add '9n' to each side of the equation.
21 + -8n + 9n = 12 + -9n + 9n

Combine like terms: -8n + 9n = 1n
21 + 1n = 12 + -9n + 9n

Combine like terms: -9n + 9n = 0
21 + 1n = 12 + 0
21 + 1n = 12

Add '-21' to each side of the equation.
21 + -21 + 1n = 12 + -21

Combine like terms: 21 + -21 = 0
0 + 1n = 12 + -21
1n = 12 + -21

Combine like terms: 12 + -21 = -9
1n = -9

Divide each side by '1'.
n = -9

Simplifying
n = -9

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