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4(-6+ 3) - 2 1/2 how do I solve this problem

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Answer:

The expression becomes:


\begin{gathered} (-29)/(2) \\ or \\ -14\text{ }(1)/(2) \end{gathered}

Step-by-step explanation:

We want to solve the expression:


4(-6+3)-2(1)/(2)

First of all, notice there is a mixed fraction in the expression. This can be converted into an improper fraction. Doing that, the expressioin becomes:


4(-6+3)-(5)/(2)

Next, we remove the bracket by multiplying each element in the bracket by 4.


-24+12-(5)/(2)

Which becomes:


-12-(5)/(2)

Now, we make this expression a single fraction as:


\begin{gathered} (-12)/(1)-(5)/(2)\text{ } \\ =(-24)/(2)-(5)/(2)\text{ } \\ =(-24-5)/(2) \\ \\ =(-29)/(2) \end{gathered}

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