7n-2=4n+22

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Solution for 7n-2=4n+22 equation:


Simplifying
7n + -2 = 4n + 22

Reorder the terms:
-2 + 7n = 4n + 22

Reorder the terms:
-2 + 7n = 22 + 4n

Solving
-2 + 7n = 22 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-2 + 7n + -4n = 22 + 4n + -4n

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

Combine like terms: 4n + -4n = 0
-2 + 3n = 22 + 0
-2 + 3n = 22

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

Combine like terms: -2 + 2 = 0
0 + 3n = 22 + 2
3n = 22 + 2

Combine like terms: 22 + 2 = 24
3n = 24

Divide each side by '3'.
n = 8

Simplifying
n = 8

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