Question

In the following exercises, simplify each expression.

$6-3\left|4\left(1-2\right)-\left(7-5\right)\right|$

Short answer

The simplified value of the given expression is$-12.$

Step-by-step solution

Step 1. Given information

The expression is$6-3\left|4\left(1-2\right)-\left(7-5\right)\right|$

Step 2. Concept used

The order of operations is based on the PEMDAS rule from left to rule.

• Parenthesis
• Exponent
• Multiplication
• Division
• Add
• Subtract

Step 3. Simplify

$$\begin{gathered} 6-3\left|4\left(1-2\right)-\left(7-5\right)\right|=6-3\left|4\left(-1\right)-\left(2\right)\right|\text{Parenthesis} \\ =6-3\left|-4-2\right|\text{Multiplication} \\ =6-3\left|-6\right|\text{addition} \\ =6-3\left(6\right)\text{use}\left|-6\right|=6 \\ =6-18\text{Multiplication} \\ =-12\mathrm{Subtraction} \end{gathered}$$

Hence,$6-3\left|4\left(1-2\right)-\left(7-5\right)\right|=-12$