Simplify the complex number. Express your answer in a + bi form and include each step necessary in simplifying.
/tex.z-dn.net/?f=%20%5Cfrac%7B3-2i%7D%7B1%2B4i%7D%20" id="TexFormula1" title=" \frac{3-2i}{1+4i} " alt=" \frac{3-2i}{1+4i} " align="absmiddle" class="latex-formula">
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