3n+1=n-7

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Solution for 3n+1=n-7 equation:


Simplifying
3n + 1 = n + -7

Reorder the terms:
1 + 3n = n + -7

Reorder the terms:
1 + 3n = -7 + n

Solving
1 + 3n = -7 + 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 = -7 + n + -1n

Combine like terms: 3n + -1n = 2n
1 + 2n = -7 + n + -1n

Combine like terms: n + -1n = 0
1 + 2n = -7 + 0
1 + 2n = -7

Add '-1' to each side of the equation.
1 + -1 + 2n = -7 + -1

Combine like terms: 1 + -1 = 0
0 + 2n = -7 + -1
2n = -7 + -1

Combine like terms: -7 + -1 = -8
2n = -8

Divide each side by '2'.
n = -4

Simplifying
n = -4

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