Respuesta:
-80
Explicación paso a paso:
Let's solve the given expression step by step.
The expression is:
\[ -7 + [-5 + 2 \times (3 - 8 \times 5)] - (-3) \times (-1) + 9 \]
We need to follow the order of operations: parentheses, exponents (if any), multiplication and division (from left to right), and addition and subtraction (from left to right). This is often abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction).
1. Simplify inside the innermost parentheses:
\[ 3 - 8 \times 5 \]
Multiplication first:
\[ 8 \times 5 = 40 \]
So,
\[ 3 - 40 = -37 \]
2. Substitute back into the expression:
\[ -7 + [-5 + 2 \times (-37)] - (-3) \times (-1) + 9 \]
3. Next, perform the multiplication:
\[ 2 \times (-37) = -74 \]
4. Substitute back into the expression:
\[ -7 + [-5 - 74] - (-3) \times (-1) + 9 \]
5. Simplify inside the brackets:
\[ -5 - 74 = -79 \]
So the expression is now:
\[ -7 + (-79) - (-3) \times (-1) + 9 \]
6. Next, perform the multiplication:
\[ (-3) \times (-1) = 3 \]
So the expression is now:
\[ -7 + (-79) - 3 + 9 \]
7. Finally, perform the addition and subtraction from left to right:
\[ -7 - 79 - 3 + 9 \]
\[ -7 - 79 = -86 \]
\[ -86 - 3 = -89 \]
\[ -89 + 9 = -80 \]
Thus, the final result of the expression is:
\[ -80 \]
