-16.67-4.1n-6.14=5.2n+9.74

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Solution for -16.67-4.1n-6.14=5.2n+9.74 equation: 


Simplifying
-16.67 + -4.1n + -6.14 = 5.2n + 9.74

Reorder the terms:
-16.67 + -6.14 + -4.1n = 5.2n + 9.74

Combine like terms: -16.67 + -6.14 = -22.81
-22.81 + -4.1n = 5.2n + 9.74

Reorder the terms:
-22.81 + -4.1n = 9.74 + 5.2n

Solving
-22.81 + -4.1n = 9.74 + 5.2n

Solving for variable 'n'.

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

Add '-5.2n' to each side of the equation.
-22.81 + -4.1n + -5.2n = 9.74 + 5.2n + -5.2n

Combine like terms: -4.1n + -5.2n = -9.3n
-22.81 + -9.3n = 9.74 + 5.2n + -5.2n

Combine like terms: 5.2n + -5.2n = 0.0
-22.81 + -9.3n = 9.74 + 0.0
-22.81 + -9.3n = 9.74

Add '22.81' to each side of the equation.
-22.81 + 22.81 + -9.3n = 9.74 + 22.81

Combine like terms: -22.81 + 22.81 = 0.00
0.00 + -9.3n = 9.74 + 22.81
-9.3n = 9.74 + 22.81

Combine like terms: 9.74 + 22.81 = 32.55
-9.3n = 32.55

Divide each side by '-9.3'.
n = -3.5

Simplifying
n = -3.5

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