Question

solve for v.
\\(\frac{3}{2} = \frac{18}{v + 6}\\)
simplify your answer as much as possible.

Explanation:

Step1: Cross-multiply to eliminate fractions

$3(v+6) = 2 \times 18$

Step2: Calculate right-hand side product

$3(v+6) = 36$

Step3: Divide both sides by 3

$v+6 = \frac{36}{3} = 12$

Step4: Subtract 6 from both sides

$v = 12 - 6$

Answer:

$v = 6$