6n-2=4n+20

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Solution for 6n-2=4n+20 equation:


Simplifying
6n + -2 = 4n + 20

Reorder the terms:
-2 + 6n = 4n + 20

Reorder the terms:
-2 + 6n = 20 + 4n

Solving
-2 + 6n = 20 + 4n

Solving for variable 'n'.

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

Add '-4n' to each side of the equation.
-2 + 6n + -4n = 20 + 4n + -4n

Combine like terms: 6n + -4n = 2n
-2 + 2n = 20 + 4n + -4n

Combine like terms: 4n + -4n = 0
-2 + 2n = 20 + 0
-2 + 2n = 20

Add '2' to each side of the equation.
-2 + 2 + 2n = 20 + 2

Combine like terms: -2 + 2 = 0
0 + 2n = 20 + 2
2n = 20 + 2

Combine like terms: 20 + 2 = 22
2n = 22

Divide each side by '2'.
n = 11

Simplifying
n = 11

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