Question

solve for w.
\\(\frac{7}{6} = \frac{w + 4}{8}\\)
simplify your answer as much as possible.
\\(w = \\)

Explanation:

Step1: Cross-multiply to eliminate fractions

$7 \times 8 = 6 \times (w+4)$

Step2: Calculate both sides

$56 = 6w + 24$

Step3: Isolate the term with w

$6w = 56 - 24$
$6w = 32$

Step4: Solve for w

$w = \frac{32}{6} = \frac{16}{3}$

Answer:

$w = \frac{16}{3}$