Question

solve for n.\\(\frac{3}{10}(n + 10) = 6\\)write your answer as a fraction or as a whole or mixed number. do not use decimals.\\(n = \\)submit

Explanation:

Step1: Multiply both sides by 10/3

To isolate the term with \( n \), we multiply both sides of the equation \(\frac{3}{10}(n + 10)=6\) by the reciprocal of \(\frac{3}{10}\), which is \(\frac{10}{3}\). So we have:
\[
\frac{10}{3}\times\frac{3}{10}(n + 10)=6\times\frac{10}{3}
\]
Simplifying the left - hand side, the \(\frac{10}{3}\) and \(\frac{3}{10}\) cancel out, leaving \(n + 10\). For the right - hand side, \(6\times\frac{10}{3}=\frac{6\times10}{3}=20\). So the equation becomes \(n + 10 = 20\).

Step2: Subtract 10 from both sides

To solve for \(n\), we subtract 10 from both sides of the equation \(n + 10 = 20\). That is:
\[
n+10 - 10=20 - 10
\]
Simplifying both sides, we get \(n = 10\).

Answer:

\(n = 10\)