Answer:
[tex]=-23.2[/tex]
Step-by-step explanation:
[tex]\left(-4\times \:5.2\right)-\left(-3\left(-\frac{4}{5}\right)\right)\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a\\=-4\times \:5.2-3\times \frac{4}{5}\\4\times \:5.2=20.8\\4\times \:5.2\\\mathrm{Multiply\:the\:numbers:}\:4\times \:5.2=20.\\=20.8\\3\times \frac{4}{5}=\frac{12}{5}\\3\times \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\times \frac{b}{c}=\frac{a\:\times \:b}{c}\\=\frac{4\times \:3}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\times \:3=12\\[/tex]
[tex]=\frac{12}{5}\\=-20.8-\frac{12}{5}\\\mathrm{Convert\:element\:to\:a\:decimal\:form}\\\frac{12}{5}=2.4\\=-20.8-2.4\\\mathrm{Subtract\:the\:numbers:}\:-20.8-2.4=-23.2\\=-23.2[/tex]
