2n+4=6n-16

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Solution for 2n+4=6n-16 equation:


Simplifying
2n + 4 = 6n + -16

Reorder the terms:
4 + 2n = 6n + -16

Reorder the terms:
4 + 2n = -16 + 6n

Solving
4 + 2n = -16 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
4 + 2n + -6n = -16 + 6n + -6n

Combine like terms: 2n + -6n = -4n
4 + -4n = -16 + 6n + -6n

Combine like terms: 6n + -6n = 0
4 + -4n = -16 + 0
4 + -4n = -16

Add '-4' to each side of the equation.
4 + -4 + -4n = -16 + -4

Combine like terms: 4 + -4 = 0
0 + -4n = -16 + -4
-4n = -16 + -4

Combine like terms: -16 + -4 = -20
-4n = -20

Divide each side by '-4'.
n = 5

Simplifying
n = 5

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