Simplify, please: 5{[4(q – 4) + 18] – [2(5q – 2)

Rui Baldwin 2021-08-14 Answered
Simplify, please:
\(\displaystyle{5}{\left\lbrace{\left[{4}{\left({q}–{4}\right)}+{18}\right]}–{\left[{2}{\left({5}{q}–{2}\right)}+{3}\right]}\right\rbrace}\)

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Expert Answer

falhiblesw
Answered 2021-08-15 Author has 27755 answers
\(\displaystyle{5}{\left\lbrace{\left[{4}{\left({q}–{4}\right)}+{18}\right]}–{\left[{2}{\left({5}{q}–{2}\right)}+{3}\right]}\right\rbrace}=\)
\(\displaystyle={5}{\left\lbrace{\left[{4}{q}–{16}+{18}\right]}–{\left[{10}{q}–{4}+{3}\right]}\right\rbrace}=\)
\(\displaystyle={5}{\left\lbrace{4}{q}+{2}–{10}{q}–{1}\right\rbrace}=\)
\(\displaystyle={5}{\left\lbrace{1}–{6}{q}\right\rbrace}=\)
\(\displaystyle={5}{\left({1}–{6}{q}\right)}\)
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