Question

In the following exercise, simplify each expression.

$24+3\left(-5+9\right)$

Short answer

The simplified value is 36.

Step-by-step solution

Step 1. Concept Used.

According to subtraction property, the subtraction of a number is equal to the addition of its opposite. This can be expressed as follows.

$a-b=a+\left(-b\right)$

Step 2. Clear Parentheses.

Add 9 with opposite of 5 inside the parentheses.

$24+3\left(-5+9\right)=24+3\left(4\right)$

Step 3. Simplification.

• Multiply 3 with 4.
• Add 24 to the product.

$\begin{array}{rcl}24+3\left(4\right)& =& 24+12\\ & =& 36\end{array}$

Step 4. Conclusion.

The value of the given expression is 36.