The given expression is: \( b - 15 + 63 \div 3 \times 5 \)
According to the order of operations, we first need to divide and then multiply before performing addition and subtraction.
Step 1: Calculate \( 63 \div 3 = 21 \)
Step 2: Calculate \( 21 \times 5 = 105 \)
Step 3: Now we perform the subtraction and addition \( b - 15 + 105 \)
Step 4: Combine like terms by adding the numerical values: \( 105 - 15 = 90 \)
Step 5: Now we have \( b + 90 \)
Therefore, the simplified expression is \( b + 90 \).
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