Certainly! Let's solve the expression step-by-step:
The given expression is:
[tex]\[ 4 - 5 + 6 \div 2 \cdot 7 \][/tex]
1. Division: According to the order of operations (PEMDAS/BODMAS), we first handle the division.
[tex]\[ 6 \div 2 = 3 \][/tex]
So now the expression is:
[tex]\[ 4 - 5 + 3 \cdot 7 \][/tex]
2. Multiplication: Next, we perform the multiplication.
[tex]\[ 3 \cdot 7 = 21 \][/tex]
The expression is now simplified to:
[tex]\[ 4 - 5 + 21 \][/tex]
3. Addition and Subtraction: Finally, we perform the operations from left to right.
[tex]\[ 4 - 5 = -1 \][/tex]
Adding the result to 21:
[tex]\[ -1 + 21 = 20 \][/tex]
Therefore, the final result of the expression [tex]\( 4 - 5 + 6 \div 2 \cdot 7 \)[/tex] is:
[tex]\[ 20 \][/tex]
