Question

solve for w.
\\(\frac{7w}{5} = 14\\)
simplify your answer as much as possible.
\\(w = \boxed{}\\)

Explanation:

Step1: Multiply both sides by 5

To eliminate the denominator on the left side, we multiply both sides of the equation \(\frac{7w}{5} = 14\) by 5. This gives us \(5\times\frac{7w}{5}=14\times5\), which simplifies to \(7w = 70\).

Step2: Divide both sides by 7

Now, to solve for \(w\), we divide both sides of the equation \(7w = 70\) by 7. So, \(\frac{7w}{7}=\frac{70}{7}\), which simplifies to \(w = 10\).

Answer:

\(10\)