Solve for k
k = \frac{71}{2} = 35\frac{1}{2} = 35.5
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-6+4k+10+34=180
Subtract 20 from 14 to get -6.
4+4k+34=180
Add -6 and 10 to get 4.
38+4k=180
Add 4 and 34 to get 38.
4k=180-38
Subtract 38 from both sides.
4k=142
Subtract 38 from 180 to get 142.
k=\frac{142}{4}
Divide both sides by 4.
k=\frac{71}{2}
Reduce the fraction \frac{142}{4} to lowest terms by extracting and canceling out 2.
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