4n+10+2n=8-2n+8+6n

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Solution for 4n+10+2n=8-2n+8+6n equation:


Simplifying
4n + 10 + 2n = 8 + -2n + 8 + 6n

Reorder the terms:
10 + 4n + 2n = 8 + -2n + 8 + 6n

Combine like terms: 4n + 2n = 6n
10 + 6n = 8 + -2n + 8 + 6n

Reorder the terms:
10 + 6n = 8 + 8 + -2n + 6n

Combine like terms: 8 + 8 = 16
10 + 6n = 16 + -2n + 6n

Combine like terms: -2n + 6n = 4n
10 + 6n = 16 + 4n

Solving
10 + 6n = 16 + 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.
10 + 6n + -4n = 16 + 4n + -4n

Combine like terms: 6n + -4n = 2n
10 + 2n = 16 + 4n + -4n

Combine like terms: 4n + -4n = 0
10 + 2n = 16 + 0
10 + 2n = 16

Add '-10' to each side of the equation.
10 + -10 + 2n = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 2n = 16 + -10
2n = 16 + -10

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

Divide each side by '2'.
n = 3

Simplifying
n = 3

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