Final answer:
To solve the equation 8-7a=-6a+9, combine like terms on each side and isolate the variable. The solution is a=1.
Step-by-step explanation:
To solve the equation 8-7a=-6a+9, we can start by simplifying both sides. We combine like terms on each side of the equation to get -7a+6a+9=8. This simplifies to -a+9=8. Next, we isolate the variable by subtracting 9 from both sides of the equation, yielding -a=-1.
To get the solution for a, we need to divide both sides of the equation by -1, resulting in a=1. Therefore, the solution to the equation is a=1.