Chapter 10 - Exponents and Radicals - 10.8 The Complex Numbers - 10.8 Exercise Set - Page 686: 34

$5+5i$

Removing the grouping symbols and then adding the real parts and the imaginary parts, the given expression, $ (-2+6i)-(-7+i) ,$ simplifies to \begin{array}{l}\require{cancel} -2+6i+7-i \\\\= (-2+7)+(6i-i) \\\\= 5+5i .\end{array}