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Multiplication comes before addition, so multiply next: 9(7) = 63, and the expression becomes 63 + 1. Finally, add: 63 + 1 = 64. 4. There are two sets of parentheses in this expression, so work on each of them separately. The first set of parentheses contains addition: –5 + 12 = 7. The second set of parentheses contains subtraction: 21 – 13 = 8. The expression is now (7)(8). Multiply: (7)(8) = 56. 5. The left side of the expression contains parentheses within parentheses, so start with the innermost parentheses: (8 – 22).

The expression becomes 5 – 3. Subtract: 5 – 3 = 2. 2. Parentheses are first in the order of operations. 10 + 3 = 13, and the expression becomes –2(13). Multiply: –2(13) = –26. 3. This expression contains an exponent, multiplication, and addition. Exponents come before multiplication and addition, so begin with 32: 32 = 9. The expression is now 9(7) + 1. Multiplication comes before addition, so multiply next: 9(7) = 63, and the expression becomes 63 + 1. Finally, add: 63 + 1 = 64. 4. There are two sets of parentheses in this expression, so work on each of them separately.

Add: –8 + –10 = –18. Replace k with 20: 1 4(20) + 30 Multiply before adding: 1 4(20) = 5 The expression becomes 5 + 30. Add: 5 + 30 = 35. Replace x with 1: 12(4 – 1) Subtraction is in parentheses, so subtract before multiplying: (4 – 1) = 3 The expression becomes 12(3). Multiply: 12(3) = 36. Replace q with –6: (–6)2 + 15 Exponents come before addition in the order of operations, so handle the exponent first: (–6)2 = 36 The expression becomes 36 + 15. Add: 36 + 15 = 51. Replace m with 4: –8(4)2 Exponents come before multiplication, so handle the exponent first: 42 = 16 The expression becomes –8(16).

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