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Solve for k. Give an exact answer. {:[(1)/(4)k=3(-(1)/(4)k+3)],[k=◻]:}

Solve for k k .\newlineGive an exact answer.\newline14k=3(−14k+3)k=□ \begin{array}{l} \frac{1}{4} k=3\left(-\frac{1}{4} k+3\right) \\ k=\square \end{array}

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Q. Solve for k k .\newlineGive an exact answer.\newline14k=3(−14k+3)k=□ \begin{array}{l} \frac{1}{4} k=3\left(-\frac{1}{4} k+3\right) \\ k=\square \end{array}
  1. Distribute and simplify: Simplify the equation by distributing the 33 on the right side.\newline(14)k=3(−14)k+3(3)(\frac{1}{4})k = 3(-\frac{1}{4})k + 3(3)\newline(14)k=−34k+9(\frac{1}{4})k = -\frac{3}{4}k + 9
  2. Move terms with kk: Move all terms containing kk to one side of the equation.\newline14k+34k=9\frac{1}{4}k + \frac{3}{4}k = 9\newline1k=91k = 9
  3. Solve for k: Solve for k.\newlinek=9k = 9

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