## Elementary Algebra

$-29$
Using the Distributive Property and then combining like terms, the given expression, $2(a-b)-3(2a+b)+2(a-3b) ,$ simplifies to \begin{array}{l}\require{cancel} 2a-2b-6a-3b+2a-6b \\\\= (2a-6a+2a)+(-2b-3b-6b) \\\\= -2a-11b .\end{array} Substituting $a=-2$ and $b=3$, the expression above evaluates to \begin{array}{l}\require{cancel} -2(-2)-11(3) \\\\= 4-33 \\\\= -29 .\end{array}