3n+2=4n-9

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


Simplifying
3n + 2 = 4n + -9

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

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

Solving
2 + 3n = -9 + 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.
2 + 3n + -4n = -9 + 4n + -4n

Combine like terms: 3n + -4n = -1n
2 + -1n = -9 + 4n + -4n

Combine like terms: 4n + -4n = 0
2 + -1n = -9 + 0
2 + -1n = -9

Add '-2' to each side of the equation.
2 + -2 + -1n = -9 + -2

Combine like terms: 2 + -2 = 0
0 + -1n = -9 + -2
-1n = -9 + -2

Combine like terms: -9 + -2 = -11
-1n = -11

Divide each side by '-1'.
n = 11

Simplifying
n = 11

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