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6k+10.5-3k=12
Subtract 3k from both sides.
3k+10.5=12
Combine 6k and -3k to get 3k.
3k=12-10.5
Subtract 10.5 from both sides.
3k=1.5
Subtract 10.5 from 12 to get 1.5.
k=\frac{1.5}{3}
Divide both sides by 3.
k=\frac{15}{30}
Expand \frac{1.5}{3} by multiplying both numerator and the denominator by 10.
k=\frac{1}{2}
Reduce the fraction \frac{15}{30} to lowest terms by extracting and canceling out 15.