5.1+3.7n-5.9-6.11=0.5+1.6n-6.6n

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Solution for 5.1+3.7n-5.9-6.11=0.5+1.6n-6.6n equation: 


Simplifying
5.1 + 3.7n + -5.9 + -6.11 = 0.5 + 1.6n + -6.6n

Reorder the terms:
5.1 + -5.9 + -6.11 + 3.7n = 0.5 + 1.6n + -6.6n

Combine like terms: 5.1 + -5.9 = -0.8
-0.8 + -6.11 + 3.7n = 0.5 + 1.6n + -6.6n

Combine like terms: -0.8 + -6.11 = -6.91
-6.91 + 3.7n = 0.5 + 1.6n + -6.6n

Combine like terms: 1.6n + -6.6n = -5n
-6.91 + 3.7n = 0.5 + -5n

Solving
-6.91 + 3.7n = 0.5 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-6.91 + 3.7n + 5n = 0.5 + -5n + 5n

Combine like terms: 3.7n + 5n = 8.7n
-6.91 + 8.7n = 0.5 + -5n + 5n

Combine like terms: -5n + 5n = 0
-6.91 + 8.7n = 0.5 + 0
-6.91 + 8.7n = 0.5

Add '6.91' to each side of the equation.
-6.91 + 6.91 + 8.7n = 0.5 + 6.91

Combine like terms: -6.91 + 6.91 = 0.00
0.00 + 8.7n = 0.5 + 6.91
8.7n = 0.5 + 6.91

Combine like terms: 0.5 + 6.91 = 7.41
8.7n = 7.41

Divide each side by '8.7'.
n = 0.8517241379

Simplifying
n = 0.8517241379

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