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Simplify the expression:

[tex]\[ 9 + 14 \cdot 2 - \frac{33}{3} \][/tex]

Sagot :

GinnyAnswer
Sure, let's solve the mathematical expression [tex]\(9 + 14 \times 2 - 33 \div 3\)[/tex] step-by-step.

### Step 1: Handle Multiplication and Division
According to the order of operations (PEMDAS/BODMAS rules), we need to perform multiplication and division before addition and subtraction.

First, we perform the multiplication:
[tex]\[ 14 \times 2 = 28 \][/tex]

Next, we perform the division:
[tex]\[ 33 \div 3 = 11.0 \][/tex]

### Step 2: Substitute Back into the Expression
Now we substitute these values back into the original expression:
[tex]\[ 9 + 28 - 11.0 \][/tex]

### Step 3: Perform Addition and Subtraction
Now, we handle the addition and subtraction from left to right:
[tex]\[ 9 + 28 = 37 \][/tex]

[tex]\[ 37 - 11.0 = 26.0 \][/tex]

So, the final result is [tex]\(26.0\)[/tex].
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