Question

which value of ( w ) makes ( 14 = 11 + \frac{w}{8} cdot 6 ) a true statement? choose 1 answer: a ( w = 1 ) b ( w = 4 ) c ( w = 16 ) d ( w = 24 )

Explanation:

Step1: Subtract 11 from both sides

$14 - 11 = 11 + \frac{w}{8} \cdot 6 - 11$
$3 = \frac{6w}{8}$

Step2: Simplify and solve for w

Multiply both sides by 8: $3 \times 8 = 6w$
$24 = 6w$
Divide both sides by 6: $w = \frac{24}{6} = 4$

Answer:

B. $w = 4$