Simplify the following expression and find the value when $p = - 1 a n d q = - 2$
$10 - 3 p - 4 + 6 q$

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Solution

Step 1 : Simplify the given expression
The given expression is $10 - 3 p - 4 + 6 q$
On simplifying the expression
$10 - 3 p - 4 + 6 q = (10 - 4) - 3 p + 6 q . . . (g r o u p i n g t h e l i k e t e r m s) = 6 - 3 p + 6 q$
Step 2- Substitute the values of $p$ and $q$ in simplified equation
putting the values $p = - 1 a n d q = - 2$
$= 6 - 3 (- 1) + 6 (- 2) = 6 - (3 \times - 1) + (6 \times - 2) = 6 - (- 3) + (- 12) = 6 + 3 - 12 = 9 - 12 = - 3$
Hence, the required solution is $- 3$

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