Simplify the following expressions: a) 7 + (15 - 6) b) 6 x (5 + 4) c) 4(2 + 6) + 4 - 3(9 - 7) d) 32 / (14 - 6) x 3 e) 40 / 5 (16 - 48 / 4) f) 35 - \15 - (19 + 5) / 3\

You're on a roll — here are the solutions for the remaining questions. 4. Let's simplify. a) 7 + (15 - 6) Step 1: Perform the operation inside the parentheses. 7 + 9 Step 2: Perform the addition. 16 16 b) 6 × (5 + 4) Step 1: Perform the operation inside the parentheses. 6 × 9 Step 2: Perform the multiplication. 54 54 c) 4(2 + 6) + 4 - 3(9 - 7) Step 1: Perform operations inside the parentheses. 4(8) + 4 - 3(2) Step 2: Perform multiplications. 32 + 4 - 6 Step 3: Perform addition and subtraction from left to right. 36 - 6 Step 4: Perform the subtraction. 30 30 d) 32 ÷ (14 - 6) × 3 Step 1: Perform the operation inside the parentheses. 32 ÷ 8 × 3 Step 2: Perform the division. 4 × 3 Step 3: Perform the multiplication. 12 12 e) 40 ÷ 5 (16 - 48 ÷ 4) Step 1: Perform the division inside the parentheses. 40 ÷ 5 (16 - 12) Step 2: Perform the subtraction inside the parentheses. 40 ÷ 5 (4) Step 3: Perform the division. 8 (4) Step 4: Perform the multiplication. 32 32 f) 35 - \15 - (19 + 5) ÷ 3\ Step 1: Perform the operation inside the innermost parentheses. 35 - \15 - 24 ÷ 3\ Step 2: Perform the division inside the curly braces. 35 - \15 - 8\ Step 3: Perform the subtraction inside the curly braces. 35 - 7 Step 4: Perform the subtraction. 28 28 g) 62 + 2 \56 ÷ (4 × 2) - 5\ Step 1: Perform the operation inside the innermost parentheses. 62 + 2 \56 ÷ 8 - 5\ Step 2: Perform the division inside the curly braces. 62 + 2 \7 - 5\ Step 3: Perform the subtraction inside the curly braces. 62 + 2 \2\ Step 4: Perform the multiplication. 62 + 4 Step 5: Perform the addition. 66 66 h) 5 \13 + 12 ÷ 3 (2 × 2)\ Step 1: Perform the operation inside the innermost parentheses. 5 \13 + 12 ÷ 3 (4)\ Step 2: Perform the division inside the curly braces. 5 \13 + 4 (4)\ Step 3: Perform the multiplication inside the curly braces. 5 \13 + 16\ Step 4: Perform the addition inside the curly braces. 5 \29\ Step 5: Perform the multiplication. 145 145 i) 39 - 4 \16 ÷ (7 - 3)\ - 23 Step 1: Perform the operation inside the innermost parentheses. 39 - 4 \16 ÷ 4\ - 23 Step 2: Perform the division inside the curly braces. 39 - 4 \4\ - 23 Step 3: Perform the multiplication. 39 - 16 - 23 Step 4: Perform subtractions from left to right. 23 - 23 Step 5: Perform the subtraction. 0 0 j) 25 - [90 - 5 \9 - (14 - 12)\] Step 1: Perform the operation inside the innermost parentheses. 25 - [90 - 5 \9 - 2\] Step 2: Perform the subtraction inside the curly braces. 25 - [90 - 5 \7\] Step 3: Perform the multiplication inside the square brackets. 25 - [90 - 35] Step 4: Perform the subtraction inside the square brackets. 25 - 55 Step 5: Perform the subtraction. -30 -30 k) 55 ÷ 11 [120 ÷ 2 \4 + (10 + 5 - 7)\] Step 1: Perform operations inside the innermost parentheses. 55 ÷ 11 [120 ÷ 2 \4 + (15 - 7)\] 55 ÷ 11 [120 ÷ 2 \4 + 8\] Step 2: Perform the addition inside the curly braces. 55 ÷ 11 [120 ÷ 2 \12\] Step 3: Perform division and multiplication inside the square brackets from left to right. 55 ÷ 11 [60 × 12] 5