-3n+4=2n-6

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Solution for -3n+4=2n-6 equation:


Simplifying
-3n + 4 = 2n + -6

Reorder the terms:
4 + -3n = 2n + -6

Reorder the terms:
4 + -3n = -6 + 2n

Solving
4 + -3n = -6 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
4 + -3n + -2n = -6 + 2n + -2n

Combine like terms: -3n + -2n = -5n
4 + -5n = -6 + 2n + -2n

Combine like terms: 2n + -2n = 0
4 + -5n = -6 + 0
4 + -5n = -6

Add '-4' to each side of the equation.
4 + -4 + -5n = -6 + -4

Combine like terms: 4 + -4 = 0
0 + -5n = -6 + -4
-5n = -6 + -4

Combine like terms: -6 + -4 = -10
-5n = -10

Divide each side by '-5'.
n = 2

Simplifying
n = 2

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