Question

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Explanation:

Step1: Find GCF of 24 and 84

Factors of 24: $1,2,3,4,6,8,12,24$
Factors of 84: $1,2,3,4,6,7,12,14,21,28,42,84$
GCF = $12$

Step2: Factor out GCF from expression

$24v - 84 = 12 \times 2v - 12 \times 7 = 12(2v - 7)$

Step3: Verify other options

• $3(8v - 28) = 24v - 84$, but 3 is not GCF
• $6(4v - 14) = 24v - 84$, but 6 is not GCF
• $24(v - 60) = 24v - 1440$, incorrect expansion

Answer:

12(2v - 7)