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Find the value of the following. 16- ...

Find the value of the following.
`16- (1)/(3)(2pq+6)` for p = 2 and q = 3

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To find the value of the expression \( 16 - \frac{1}{3}(2pq + 6) \) for \( p = 2 \) and \( q = 3 \), we can follow these steps: ### Step 1: Substitute the values of \( p \) and \( q \) We start by substituting the given values of \( p \) and \( q \) into the expression. \[ p = 2, \quad q = 3 \] So, we have: \[ 16 - \frac{1}{3}(2 \cdot 2 \cdot 3 + 6) \] ### Step 2: Calculate \( 2pq \) Now, calculate \( 2pq \): \[ 2pq = 2 \cdot 2 \cdot 3 = 12 \] ### Step 3: Add 6 to \( 2pq \) Next, we add 6 to the result from Step 2: \[ 2pq + 6 = 12 + 6 = 18 \] ### Step 4: Substitute back into the expression Now, substitute \( 2pq + 6 \) back into the expression: \[ 16 - \frac{1}{3}(18) \] ### Step 5: Calculate \( \frac{1}{3}(18) \) Now, calculate \( \frac{1}{3}(18) \): \[ \frac{1}{3}(18) = 6 \] ### Step 6: Subtract from 16 Finally, subtract this result from 16: \[ 16 - 6 = 10 \] ### Final Answer Thus, the value of the expression is: \[ \boxed{10} \]
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