Answer
$c-6$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Use the Distributive Property to simplify the given expression, $
3c-[8-2(1-c)]
.$ Then combine like terms.
$\bf{\text{Solution Details:}}$
Using the Distributive Property which is given by $a(b+c)=ab+ac,$ the expression above is equivalent to
\begin{array}{l}\require{cancel}
3c-[8-2(1)-2(-c)]
\\\\=
3c-[8-2+2c]
\\\\=
3c-1[8]-1[-2]-1[2c]
\\\\=
3c-8+2-2c
.\end{array}
By combining like terms, the expression above is equivalent to
\begin{array}{l}\require{cancel}
3c-8+2-2c
\\\\=
(3c-2c)+(-8+2)
\\\\=
c-6
.\end{array}