3n+4=5(n+2)-n

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Solution for 3n+4=5(n+2)-n equation: 


Simplifying
3n + 4 = 5(n + 2) + -1n

Reorder the terms:
4 + 3n = 5(n + 2) + -1n

Reorder the terms:
4 + 3n = 5(2 + n) + -1n
4 + 3n = (2 * 5 + n * 5) + -1n
4 + 3n = (10 + 5n) + -1n

Combine like terms: 5n + -1n = 4n
4 + 3n = 10 + 4n

Solving
4 + 3n = 10 + 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.
4 + 3n + -4n = 10 + 4n + -4n

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

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

Add '-4' to each side of the equation.
4 + -4 + -1n = 10 + -4

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

Combine like terms: 10 + -4 = 6
-1n = 6

Divide each side by '-1'.
n = -6

Simplifying
n = -6

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