Answer :
To simplify the expression [tex]\(8.5 + (12 + 4) \times 2 - 7\)[/tex], we'll follow the order of operations, often remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)).
1. Parentheses: Start by solving the expression inside the parentheses.
[tex]\[
12 + 4 = 16
\][/tex]
2. Multiplication: Next, multiply the result from the parentheses by 2.
[tex]\[
16 \times 2 = 32
\][/tex]
3. Addition: Add 8.5 to the result of the multiplication.
[tex]\[
8.5 + 32 = 40.5
\][/tex]
4. Subtraction: Finally, subtract 7 from the result of the addition.
[tex]\[
40.5 - 7 = 33.5
\][/tex]
Therefore, the simplified value of the expression is [tex]\(\boxed{33.5}\)[/tex].
1. Parentheses: Start by solving the expression inside the parentheses.
[tex]\[
12 + 4 = 16
\][/tex]
2. Multiplication: Next, multiply the result from the parentheses by 2.
[tex]\[
16 \times 2 = 32
\][/tex]
3. Addition: Add 8.5 to the result of the multiplication.
[tex]\[
8.5 + 32 = 40.5
\][/tex]
4. Subtraction: Finally, subtract 7 from the result of the addition.
[tex]\[
40.5 - 7 = 33.5
\][/tex]
Therefore, the simplified value of the expression is [tex]\(\boxed{33.5}\)[/tex].
