5n+1=n-5

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Solution for 5n+1=n-5 equation:


Simplifying
5n + 1 = n + -5

Reorder the terms:
1 + 5n = n + -5

Reorder the terms:
1 + 5n = -5 + n

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

Combine like terms: 5n + -1n = 4n
1 + 4n = -5 + n + -1n

Combine like terms: n + -1n = 0
1 + 4n = -5 + 0
1 + 4n = -5

Add '-1' to each side of the equation.
1 + -1 + 4n = -5 + -1

Combine like terms: 1 + -1 = 0
0 + 4n = -5 + -1
4n = -5 + -1

Combine like terms: -5 + -1 = -6
4n = -6

Divide each side by '4'.
n = -1.5

Simplifying
n = -1.5

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