Question

Simplify the expression.

$8a-2\left(7a-3\right)$

Short answer

Value of given expression is $6-6a$.

Step-by-step solution

Step 1.  Expanding terms of given expression

$8a-2\left(7a-3\right)$

This can be written as,

$\begin{array}{l}8a-2\left(7a-3\right)=8a-2\left(7a\right)-2\left(-3\right)\\ 8a-2\left(7a-3\right)=8a-14a+6\end{array}$

Step 2.  Combining like terms 

Combining like terms, we get,

$\begin{array}{l}8a-2\left(7a-3\right)=8a-14a+6\\ 8a-2\left(7a-3\right)=-6a+6\\ 8a-2\left(7a-3\right)=6-6a\end{array}$

Step 3.  Conclusion

Therefore, the value of given expression is $6-6a$.