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distribute to create an equivalent expression with the fewest sy possib…

Question

distribute to create an equivalent expression with the fewest sy possible.
\\(\frac{1}{3}\left(3j + 6\
ight) = \square\\)

Explanation:

Step1: Apply distributive property

The distributive property is \(a(b + c)=ab+ac\). Here, \(a = \frac{1}{3}\), \(b = 3j\), and \(c = 6\). So we have \(\frac{1}{3}(3j)+\frac{1}{3}(6)\).

Step2: Simplify each term

For \(\frac{1}{3}(3j)\), \(\frac{1}{3}\times3j = j\) (since \(\frac{3}{3}=1\)). For \(\frac{1}{3}(6)\), \(\frac{1}{3}\times6 = 2\) (since \(6\div3 = 2\)).

Step3: Combine terms

Combining the simplified terms, we get \(j + 2\).

Answer:

\(j + 2\)