Answer: a=1
Step-by-step explanation:
-8(a-4)+3a=2(4a+9)+1          given
-8a+32+3a=8a+18+1            distribute
+8a             +8a
32+3a=16a+18+1                  subtraction property of equality
     -3a  -3a
32=13a+18+1                         addition property of equality
32=13a+19                             add like terms
-19        -19
13=13a                                    addition property of equality
÷13 ÷13
1=a                                          multiplication property of equality
a=1 is the answer. Hope this helps!