4n+1=n+22

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Solution for 4n+1=n+22 equation:


Simplifying
4n + 1 = n + 22

Reorder the terms:
1 + 4n = n + 22

Reorder the terms:
1 + 4n = 22 + n

Solving
1 + 4n = 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.
1 + 4n + -1n = 22 + n + -1n

Combine like terms: 4n + -1n = 3n
1 + 3n = 22 + n + -1n

Combine like terms: n + -1n = 0
1 + 3n = 22 + 0
1 + 3n = 22

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

Combine like terms: 1 + -1 = 0
0 + 3n = 22 + -1
3n = 22 + -1

Combine like terms: 22 + -1 = 21
3n = 21

Divide each side by '3'.
n = 7

Simplifying
n = 7

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