3n-2n+1=-3n+9n+11

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Solution for 3n-2n+1=-3n+9n+11 equation: 


Simplifying
3n + -2n + 1 = -3n + 9n + 11

Reorder the terms:
1 + 3n + -2n = -3n + 9n + 11

Combine like terms: 3n + -2n = 1n
1 + 1n = -3n + 9n + 11

Reorder the terms:
1 + 1n = 11 + -3n + 9n

Combine like terms: -3n + 9n = 6n
1 + 1n = 11 + 6n

Solving
1 + 1n = 11 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
1 + 1n + -6n = 11 + 6n + -6n

Combine like terms: 1n + -6n = -5n
1 + -5n = 11 + 6n + -6n

Combine like terms: 6n + -6n = 0
1 + -5n = 11 + 0
1 + -5n = 11

Add '-1' to each side of the equation.
1 + -1 + -5n = 11 + -1

Combine like terms: 1 + -1 = 0
0 + -5n = 11 + -1
-5n = 11 + -1

Combine like terms: 11 + -1 = 10
-5n = 10

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

Simplifying
n = -2

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