Answer :

We start with the expression:

[tex]$$8.5+(12+4)\times 2-7.$$[/tex]

Step 1: Evaluate the parentheses

Calculate the sum inside the parentheses:

[tex]$$12 + 4 = 16.$$[/tex]

Step 2: Multiply by 2

Multiply the result by 2:

[tex]$$16 \times 2 = 32.$$[/tex]

Step 3: Add 8.5

Now add 8.5 to the result:

[tex]$$8.5 + 32 = 40.5.$$[/tex]

Step 4: Subtract 7

Finally, subtract 7 from the current total:

[tex]$$40.5 - 7 = 33.5.$$[/tex]

Thus, the simplified value of the expression is:

[tex]$$\boxed{33.5}.$$[/tex]

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