5n+2=3n-4

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Solution for 5n+2=3n-4 equation: 


Simplifying
5n + 2 = 3n + -4

Reorder the terms:
2 + 5n = 3n + -4

Reorder the terms:
2 + 5n = -4 + 3n

Solving
2 + 5n = -4 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
2 + 5n + -3n = -4 + 3n + -3n

Combine like terms: 5n + -3n = 2n
2 + 2n = -4 + 3n + -3n

Combine like terms: 3n + -3n = 0
2 + 2n = -4 + 0
2 + 2n = -4

Add '-2' to each side of the equation.
2 + -2 + 2n = -4 + -2

Combine like terms: 2 + -2 = 0
0 + 2n = -4 + -2
2n = -4 + -2

Combine like terms: -4 + -2 = -6
2n = -6

Divide each side by '2'.
n = -3

Simplifying
n = -3

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