Answer
The statement is true.
Work Step by Step
$6\displaystyle \cdot(a\div 3)=6\cdot(a\cdot\frac{1}{3})\qquad $( definition of division)
$=6\displaystyle \cdot(\frac{1}{3}\cdot a)\qquad $(commutative property of multiplication)
$=(6\displaystyle \cdot\frac{1}{3})\cdot a\qquad $(associative property of multiplication)
$=(6\div 3)\cdot a\qquad $(definition of division)
$=(2)\cdot a\qquad $(simplify $6\div 3$)
$=2a$
The statement is true.
