(5n+2)=1n-3n

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Solution for (5n+2)=1n-3n equation:


Simplifying
(5n + 2) = 1n + -3n

Reorder the terms:
(2 + 5n) = 1n + -3n

Remove parenthesis around (2 + 5n)
2 + 5n = 1n + -3n

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

Solving
2 + 5n = -2n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

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

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

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

Add '-2' to each side of the equation.
2 + -2 + 7n = 0 + -2

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

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

Divide each side by '7'.
n = -0.2857142857

Simplifying
n = -0.2857142857

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