Question

simplify the expression.
10 + (-3) - \frac{2}{5}j - \frac{4}{5}j + 6

10 + (-3) - \frac{2}{5}j - \frac{4}{5}j + 6 = \square
(simplify your answer. use integers or fractions for any numbers in the expressio

Explanation:

Step1: Combine constant terms

First, handle the constant terms \(10\), \(-3\), and \(6\).
\(10 + (-3)+6 = 10 - 3 + 6\)
\(10 - 3 = 7\), then \(7 + 6 = 13\)

Step2: Combine the \(j\)-terms

Now, handle the terms with \(j\): \(-\frac{2}{5}j\) and \(-\frac{4}{5}j\).
To combine them, add their coefficients: \(-\frac{2}{5}-\frac{4}{5}=-\frac{2 + 4}{5}=-\frac{6}{5}\)
So the \(j\)-terms combine to \(-\frac{6}{5}j\)

Step3: Combine the results

Now, combine the constant result and the \(j\)-term result.
Putting it all together, we have \(13-\frac{6}{5}j\)

Answer:

\(13 - \frac{6}{5}j\)