Final answer:
The expression 5(2-3)-3(20+4) simplifies to -77 after performing operations in parentheses, then multiplication, and finally addition and subtraction.
Step-by-step explanation:
The expression given by the student is 5(2-3)-3(20+4). To evaluate the expression, we first perform the operations inside the parentheses, and then the multiplication, and finally the addition and subtraction.
First, simplify the expressions inside the parentheses. The expression 2-3 simplifies to -1. The expression 20+4 simplifies to 24.
Next, multiply the simplified terms by their coefficients. We have 5 times -1 equals -5, and -3 times 24 equals -72.
Now add the results: -5 and -72. Adding these together, we get -5 - 72, which is equal to -77.
Therefore, the simplest form of the expression is -77.