3n+2=10-4n+3n

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Solution for 3n+2=10-4n+3n equation: 


Simplifying
3n + 2 = 10 + -4n + 3n

Reorder the terms:
2 + 3n = 10 + -4n + 3n

Combine like terms: -4n + 3n = -1n
2 + 3n = 10 + -1n

Solving
2 + 3n = 10 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
2 + 3n + n = 10 + -1n + n

Combine like terms: 3n + n = 4n
2 + 4n = 10 + -1n + n

Combine like terms: -1n + n = 0
2 + 4n = 10 + 0
2 + 4n = 10

Add '-2' to each side of the equation.
2 + -2 + 4n = 10 + -2

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

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

Divide each side by '4'.
n = 2

Simplifying
n = 2

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