Intermediate Algebra, Chapter 1, 1.3, Section 1.3, Problem 72

Simplify $\displaystyle -12 \left( - \frac{3}{4} \right) - (6 \cdot 5 \div 3)$ using the Order of Operations.


$
\begin{equation}
\begin{aligned}

-12 \left( - \frac{3}{4} \right) - (6 \cdot 5 \div 3) =& -12 \left( - \frac{3}{4} \right) - (30 \div 3)
&& \text{Work inside parentheses first}
\\
\\
=& -12 \left( - \frac{3}{4} \right) - 10
&& \text{Divide}
\\
\\
=& 9 - 10
&& \text{Multiply}
\\
\\
=& -1
&& \text{Subtract}

\end{aligned}
\end{equation}
$