Implied multiplication with parentheses; follow left-to-right for * and ÷ Evaluate: 8 ÷ 4 (3 − 2) * 4 + 3 − 7.

Introduction / Context:
Expressions with implied multiplication (e.g., 4(3−2)) often cause mistakes if parentheses and left-to-right rules are ignored. This item checks that you reduce the bracket first, then process division and multiplication strictly left to right before addition/subtraction.

Given Data / Assumptions:

• Expression: 8 ÷ 4 (3 − 2) * 4 + 3 − 7.
• (3 − 2) is evaluated first.
• Multiplication and division share precedence; evaluate them left to right.

Concept / Approach:
After simplifying the bracket, rewrite the chain of * and ÷ so you can proceed sequentially from left to right. This avoids the common error of multiplying by 4 first or reordering operations incorrectly.

Step-by-Step Solution:
Compute bracket: (3 − 2) = 1.Expression becomes: 8 ÷ 4 * 1 * 4 + 3 − 7.Left to right: 8 ÷ 4 = 2; 2 * 1 = 2; 2 * 4 = 8.Then add/subtract: 8 + 3 − 7 = 4.

Verification / Alternative check:
Replace implied multiplication by explicit symbol to verify: 8 ÷ 4 * (3 − 2) * 4 + 3 − 7, which yields the same sequence and result 4.

Why Other Options Are Wrong:
−3 or −4 come from mishandling signs or subtracting 7 too early.5 appears if one multiplies by 4 prematurely or misorders operations after removing brackets.

Common Pitfalls:
Treating implied multiplication as higher precedence than division; skipping the left-to-right rule; or forgetting to apply the +3 − 7 at the end.

Final Answer:
4