5*n+2=n*8-11

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Solution for 5*n+2=n*8-11 equation: 


Simplifying
5n + 2 = n * 8 + -11

Reorder the terms:
2 + 5n = n * 8 + -11

Reorder the terms for easier multiplication:
2 + 5n = 8n + -11

Reorder the terms:
2 + 5n = -11 + 8n

Solving
2 + 5n = -11 + 8n

Solving for variable 'n'.

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

Add '-8n' to each side of the equation.
2 + 5n + -8n = -11 + 8n + -8n

Combine like terms: 5n + -8n = -3n
2 + -3n = -11 + 8n + -8n

Combine like terms: 8n + -8n = 0
2 + -3n = -11 + 0
2 + -3n = -11

Add '-2' to each side of the equation.
2 + -2 + -3n = -11 + -2

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

Combine like terms: -11 + -2 = -13
-3n = -13

Divide each side by '-3'.
n = 4.333333333

Simplifying
n = 4.333333333

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