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Evaluate 8p+3q188p +3q-18, when p=12p=\frac{1}{2} and q=7q=7.

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Q. Evaluate 8p+3q188p +3q-18, when p=12p=\frac{1}{2} and q=7q=7.
  1. Substitute Values: Substitute the given values of pp and qq into the expression.\newlineWe have p=12p = \frac{1}{2} and q=7q = 7. The expression is 8p+3q188p + 3q - 18. Let's substitute the values:\newline8×(12)+3×7188 \times \left(\frac{1}{2}\right) + 3 \times 7 - 18
  2. Perform Multiplication: Perform the multiplication for each term.\newlineNow we calculate each term separately:\newline8×(12)=48 \times \left(\frac{1}{2}\right) = 4\newline3×7=213 \times 7 = 21\newlineSo the expression becomes:\newline4+21184 + 21 - 18
  3. Add and Subtract: Add and subtract the numbers to find the value of the expression.\newlineNow we add and subtract the numbers:\newline4+21=254 + 21 = 25\newline2518=725 - 18 = 7\newlineSo the value of the expression is 77.

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