n*3+12-5*n=22

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Solution for n*3+12-5*n=22 equation: 


Simplifying
n * 3 + 12 + -5n = 22

Reorder the terms for easier multiplication:
3n + 12 + -5n = 22

Reorder the terms:
12 + 3n + -5n = 22

Combine like terms: 3n + -5n = -2n
12 + -2n = 22

Solving
12 + -2n = 22

Solving for variable 'n'.

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

Add '-12' to each side of the equation.
12 + -12 + -2n = 22 + -12

Combine like terms: 12 + -12 = 0
0 + -2n = 22 + -12
-2n = 22 + -12

Combine like terms: 22 + -12 = 10
-2n = 10

Divide each side by '-2'.
n = -5

Simplifying
n = -5

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