3n+1=n+13

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Solution for 3n+1=n+13 equation:


Simplifying
3n + 1 = n + 13

Reorder the terms:
1 + 3n = n + 13

Reorder the terms:
1 + 3n = 13 + n

Solving
1 + 3n = 13 + 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 + 3n + -1n = 13 + n + -1n

Combine like terms: 3n + -1n = 2n
1 + 2n = 13 + n + -1n

Combine like terms: n + -1n = 0
1 + 2n = 13 + 0
1 + 2n = 13

Add '-1' to each side of the equation.
1 + -1 + 2n = 13 + -1

Combine like terms: 1 + -1 = 0
0 + 2n = 13 + -1
2n = 13 + -1

Combine like terms: 13 + -1 = 12
2n = 12

Divide each side by '2'.
n = 6

Simplifying
n = 6

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