Question

question 3 | take another look: solve using the distribution property
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enter the result of applying the distributive property in the equation \\(\frac{2}{5}(5w + 10) = 2 - \frac{7}{10}w\\).

Explanation:

Step1: Recall Distributive Property

The distributive property is \( a(b + c)=ab + ac \). Here, \( a=\frac{2}{5} \), \( b = 5w \), \( c=10 \).

Step2: Apply Distributive Property

Multiply \(\frac{2}{5}\) with \(5w\) and \(\frac{2}{5}\) with \(10\) separately.
For \(\frac{2}{5}\times5w\): \(\frac{2}{5}\times5w = 2w\) (since \(\frac{2}{5}\times5 = 2\)).
For \(\frac{2}{5}\times10\): \(\frac{2}{5}\times10=4\) (since \(10\div5 = 2\) and \(2\times2 = 4\)).
So the left - hand side after applying the distributive property is \(2w + 4\), and the right - hand side remains \(2-\frac{7}{10}w\). The equation becomes \(2w + 4=2-\frac{7}{10}w\).

Answer:

\(2w + 4 = 2-\frac{7}{10}w\)