3.5n+6.5=12.5n-11.5

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Solution for 3.5n+6.5=12.5n-11.5 equation: 


Simplifying
3.5n + 6.5 = 12.5n + -11.5

Reorder the terms:
6.5 + 3.5n = 12.5n + -11.5

Reorder the terms:
6.5 + 3.5n = -11.5 + 12.5n

Solving
6.5 + 3.5n = -11.5 + 12.5n

Solving for variable 'n'.

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

Add '-12.5n' to each side of the equation.
6.5 + 3.5n + -12.5n = -11.5 + 12.5n + -12.5n

Combine like terms: 3.5n + -12.5n = -9n
6.5 + -9n = -11.5 + 12.5n + -12.5n

Combine like terms: 12.5n + -12.5n = 0.0
6.5 + -9n = -11.5 + 0.0
6.5 + -9n = -11.5

Add '-6.5' to each side of the equation.
6.5 + -6.5 + -9n = -11.5 + -6.5

Combine like terms: 6.5 + -6.5 = 0.0
0.0 + -9n = -11.5 + -6.5
-9n = -11.5 + -6.5

Combine like terms: -11.5 + -6.5 = -18
-9n = -18

Divide each side by '-9'.
n = 2

Simplifying
n = 2

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