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What is the solution of this equation? 8-7a=-6a+9

2 Answers

4 votes

Answer: -1

Step-by-step explanation:

8 - 7a = -6a + 9

Add the 6a (since it is negative) to the -7a, hence making it -a.

Subtract 8 from 9 to get 1.

So far we have:

-a = 1

So the solution of a POSITIVE a would be

a = -1

User Tatactic
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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.