3n+4=9n-2

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Solution for 3n+4=9n-2 equation:


Simplifying
3n + 4 = 9n + -2

Reorder the terms:
4 + 3n = 9n + -2

Reorder the terms:
4 + 3n = -2 + 9n

Solving
4 + 3n = -2 + 9n

Solving for variable 'n'.

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

Add '-9n' to each side of the equation.
4 + 3n + -9n = -2 + 9n + -9n

Combine like terms: 3n + -9n = -6n
4 + -6n = -2 + 9n + -9n

Combine like terms: 9n + -9n = 0
4 + -6n = -2 + 0
4 + -6n = -2

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

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

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

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

Simplifying
n = 1

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