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2+2k=-28-14k
Multiply both sides of the equation by 7.
2+2k+14k=-28
Add 14k to both sides.
2+16k=-28
Combine 2k and 14k to get 16k.
16k=-28-2
Subtract 2 from both sides.
16k=-30
Subtract 2 from -28 to get -30.
k=\frac{-30}{16}
Divide both sides by 16.
k=-\frac{15}{8}
Reduce the fraction \frac{-30}{16} to lowest terms by extracting and canceling out 2.