3n+2=n-22

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Solution for 3n+2=n-22 equation:


Simplifying
3n + 2 = n + -22

Reorder the terms:
2 + 3n = n + -22

Reorder the terms:
2 + 3n = -22 + n

Solving
2 + 3n = -22 + n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
2 + 3n + -1n = -22 + n + -1n

Combine like terms: 3n + -1n = 2n
2 + 2n = -22 + n + -1n

Combine like terms: n + -1n = 0
2 + 2n = -22 + 0
2 + 2n = -22

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

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

Combine like terms: -22 + -2 = -24
2n = -24

Divide each side by '2'.
n = -12

Simplifying
n = -12

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