Solve each equation.
9n-3=7(n+3)+2n
I got -24 is that right?
To solve the given equation, we need to simplify and combine like terms on both sides of the equation.
Let's start by distributing the 7 on the right side of the equation:
9n - 3 = 7n + 21 + 2n
Next, combine like terms on the right side:
9n - 3 = 9n + 21
Now, we want to isolate the variables on one side of the equation. Let's subtract 9n from both sides:
9n - 9n - 3 = 9n - 9n + 21
Simplifying this further:
-3 = 21
However, we end up with a contradiction since -3 cannot equal 21. Therefore, there is no solution to this equation. Thus, your answer of -24 is incorrect.
When solving linear equations, it is important to check our solutions to ensure they are valid. In this case, we found that the equation has no solution.