6n+11=9n-16

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Solution for 6n+11=9n-16 equation:


Simplifying
6n + 11 = 9n + -16

Reorder the terms:
11 + 6n = 9n + -16

Reorder the terms:
11 + 6n = -16 + 9n

Solving
11 + 6n = -16 + 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.
11 + 6n + -9n = -16 + 9n + -9n

Combine like terms: 6n + -9n = -3n
11 + -3n = -16 + 9n + -9n

Combine like terms: 9n + -9n = 0
11 + -3n = -16 + 0
11 + -3n = -16

Add '-11' to each side of the equation.
11 + -11 + -3n = -16 + -11

Combine like terms: 11 + -11 = 0
0 + -3n = -16 + -11
-3n = -16 + -11

Combine like terms: -16 + -11 = -27
-3n = -27

Divide each side by '-3'.
n = 9

Simplifying
n = 9

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