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solve each equation. \\(\\frac{7}{k - 4} = \\frac{2}{8}\\)

Question

solve each equation.
\\(\frac{7}{k - 4} = \frac{2}{8}\\)

Explanation:

Step1: Cross-multiply to eliminate fractions

$7 \times 8 = 2 \times (k-4)$

Step2: Calculate both sides of the equation

$56 = 2k - 8$

Step3: Isolate the term with $k$

$2k = 56 + 8$
$2k = 64$

Step4: Solve for $k$

$k = \frac{64}{2}$

Answer:

$k=32$