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Solve the following expression:

a) [tex]12 - \left(7 + \frac{36}{4}\right) \cdot 5 - 7 = -[/tex]

Sagot :

GinnyAnsweridn
Certainly! Let's solve the expression step by step:

[tex]\[ 12 - (7 + \frac{36}{4}) \times 5 - 7 \][/tex]

1. Perform the division inside the parentheses first:

[tex]\[ \frac{36}{4} = 9 \][/tex]

2. Substitute the division result back into the expression:

[tex]\[ 12 - (7 + 9) \times 5 - 7 \][/tex]

3. Perform the addition inside the parentheses next:

[tex]\[ 7 + 9 = 16 \][/tex]

4. Substitute the addition result back into the expression:

[tex]\[ 12 - 16 \times 5 - 7 \][/tex]

5. Perform the multiplication:

[tex]\[ 16 \times 5 = 80 \][/tex]

6. Substitute the multiplication result back into the expression:

[tex]\[ 12 - 80 - 7 \][/tex]

7. Perform the first subtraction:

[tex]\[ 12 - 80 = -68 \][/tex]

8. Perform the final subtraction:

[tex]\[ -68 - 7 = -75 \][/tex]

So, the result of the expression [tex]\( 12 - (7 + \frac{36}{4}) \times 5 - 7 \)[/tex] is:

[tex]\[ -75 \][/tex]
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