12=2(3n+1)+22

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Solution for 12=2(3n+1)+22 equation:


Simplifying
12 = 2(3n + 1) + 22

Reorder the terms:
12 = 2(1 + 3n) + 22
12 = (1 * 2 + 3n * 2) + 22
12 = (2 + 6n) + 22

Reorder the terms:
12 = 2 + 22 + 6n

Combine like terms: 2 + 22 = 24
12 = 24 + 6n

Solving
12 = 24 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
12 + -6n = 24 + 6n + -6n

Combine like terms: 6n + -6n = 0
12 + -6n = 24 + 0
12 + -6n = 24

Add '-12' to each side of the equation.
12 + -12 + -6n = 24 + -12

Combine like terms: 12 + -12 = 0
0 + -6n = 24 + -12
-6n = 24 + -12

Combine like terms: 24 + -12 = 12
-6n = 12

Divide each side by '-6'.
n = -2

Simplifying
n = -2

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