6n+10-2n=4n-6+2n

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Solution for 6n+10-2n=4n-6+2n equation: 


Simplifying
6n + 10 + -2n = 4n + -6 + 2n

Reorder the terms:
10 + 6n + -2n = 4n + -6 + 2n

Combine like terms: 6n + -2n = 4n
10 + 4n = 4n + -6 + 2n

Reorder the terms:
10 + 4n = -6 + 4n + 2n

Combine like terms: 4n + 2n = 6n
10 + 4n = -6 + 6n

Solving
10 + 4n = -6 + 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.
10 + 4n + -6n = -6 + 6n + -6n

Combine like terms: 4n + -6n = -2n
10 + -2n = -6 + 6n + -6n

Combine like terms: 6n + -6n = 0
10 + -2n = -6 + 0
10 + -2n = -6

Add '-10' to each side of the equation.
10 + -10 + -2n = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -2n = -6 + -10
-2n = -6 + -10

Combine like terms: -6 + -10 = -16
-2n = -16

Divide each side by '-2'.
n = 8

Simplifying
n = 8

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