2n+7-n=4n-2

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Solution for 2n+7-n=4n-2 equation:


Simplifying
2n + 7 + -1n = 4n + -2

Reorder the terms:
7 + 2n + -1n = 4n + -2

Combine like terms: 2n + -1n = 1n
7 + 1n = 4n + -2

Reorder the terms:
7 + 1n = -2 + 4n

Solving
7 + 1n = -2 + 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.
7 + 1n + -4n = -2 + 4n + -4n

Combine like terms: 1n + -4n = -3n
7 + -3n = -2 + 4n + -4n

Combine like terms: 4n + -4n = 0
7 + -3n = -2 + 0
7 + -3n = -2

Add '-7' to each side of the equation.
7 + -7 + -3n = -2 + -7

Combine like terms: 7 + -7 = 0
0 + -3n = -2 + -7
-3n = -2 + -7

Combine like terms: -2 + -7 = -9
-3n = -9

Divide each side by '-3'.
n = 3

Simplifying
n = 3

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