3n+2=7n-22

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Solution for 3n+2=7n-22 equation:


Simplifying
3n + 2 = 7n + -22

Reorder the terms:
2 + 3n = 7n + -22

Reorder the terms:
2 + 3n = -22 + 7n

Solving
2 + 3n = -22 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
2 + 3n + -7n = -22 + 7n + -7n

Combine like terms: 3n + -7n = -4n
2 + -4n = -22 + 7n + -7n

Combine like terms: 7n + -7n = 0
2 + -4n = -22 + 0
2 + -4n = -22

Add '-2' to each side of the equation.
2 + -2 + -4n = -22 + -2

Combine like terms: 2 + -2 = 0
0 + -4n = -22 + -2
-4n = -22 + -2

Combine like terms: -22 + -2 = -24
-4n = -24

Divide each side by '-4'.
n = 6

Simplifying
n = 6

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