2n+4=3n-2

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


Simplifying
2n + 4 = 3n + -2

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

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

Solving
4 + 2n = -2 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
4 + 2n + -3n = -2 + 3n + -3n

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

Combine like terms: 3n + -3n = 0
4 + -1n = -2 + 0
4 + -1n = -2

Add '-4' to each side of the equation.
4 + -4 + -1n = -2 + -4

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

Combine like terms: -2 + -4 = -6
-1n = -6

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

Simplifying
n = 6

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