Hi there!
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I believe your answer is:
[tex]k = -0.4[/tex]
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Here’s why:
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[tex]2k+9=7-3k\\\rule{150}{0.5}\\\rightarrow 2k + 9 = 7-3k\\\\\rightarrow 2k + 3k + 9 = 7 - 3k + 3k\\\\\rightarrow 5k + 9 = 7\\\\\rightarrow5k + 9 - 9 = 7 - 9\\\\\rightarrow 5k = -2\\\\\rightarrow \frac{5k=-2}{5}\\\\\rightarrow \boxed{k = -\frac{2}{5} = -0.4}[/tex]
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Hope this helps you. I apologize if it’s incorrect.
