3n+7=n-5

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Solution for 3n+7=n-5 equation:


Simplifying
3n + 7 = n + -5

Reorder the terms:
7 + 3n = n + -5

Reorder the terms:
7 + 3n = -5 + n

Solving
7 + 3n = -5 + 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.
7 + 3n + -1n = -5 + n + -1n

Combine like terms: 3n + -1n = 2n
7 + 2n = -5 + n + -1n

Combine like terms: n + -1n = 0
7 + 2n = -5 + 0
7 + 2n = -5

Add '-7' to each side of the equation.
7 + -7 + 2n = -5 + -7

Combine like terms: 7 + -7 = 0
0 + 2n = -5 + -7
2n = -5 + -7

Combine like terms: -5 + -7 = -12
2n = -12

Divide each side by '2'.
n = -6

Simplifying
n = -6

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