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Evaluate \[\dfrac c2-3 \dfrac 6d\] when \[c=14\] and \[d=3\].

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Final answer:

To evaluate the expression with c=14 and d=3, we substitute them into the expression \(\frac{c}{2}-3\frac{6}{d}\), resulting in 7-6, which simplifies to 1.

Step-by-step explanation:

To evaluate the expression \(\dfrac c2-3 \dfrac 6d\) given the values c = 14 and d = 3, we need to substitute these values into the expression and simplify.

First, substitute the value of c:

  • \(\dfrac c2 = \dfrac{14}2 = 7\)

Next, substitute the value of d:

  • \(3 \dfrac 6d = 3 \times \dfrac{6}{3} = 3 \times 2 = 6\)

The expression now reads:

  • 7 - 6

Finally, subtract 6 from 7:

  • \(7 - 6 = 1\)

Thus, the evaluated expression equals 1.

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