8n+2=11n-16

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Solution for 8n+2=11n-16 equation:


Simplifying
8n + 2 = 11n + -16

Reorder the terms:
2 + 8n = 11n + -16

Reorder the terms:
2 + 8n = -16 + 11n

Solving
2 + 8n = -16 + 11n

Solving for variable 'n'.

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

Add '-11n' to each side of the equation.
2 + 8n + -11n = -16 + 11n + -11n

Combine like terms: 8n + -11n = -3n
2 + -3n = -16 + 11n + -11n

Combine like terms: 11n + -11n = 0
2 + -3n = -16 + 0
2 + -3n = -16

Add '-2' to each side of the equation.
2 + -2 + -3n = -16 + -2

Combine like terms: 2 + -2 = 0
0 + -3n = -16 + -2
-3n = -16 + -2

Combine like terms: -16 + -2 = -18
-3n = -18

Divide each side by '-3'.
n = 6

Simplifying
n = 6

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