Answer: a=1
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!