Answer
$-35-14i$
Work Step by Step
RECALL:
(1) $a(b-c) = ac - bc$
(2) $i^2=-1$
Use rule (1) above to obtain:
$=-7i(2) - (-7i)(5i)
\\=-14i - (-35i^2)
\\=-14i+35i^2$
Use rule (2) above to obtain:
$=-14i +35(-1)
\\=-14i +(-35)
\\=-35-14i$