Let's solve your equation step-by-step.−7(k+9)=9(k−5)−14kStep 1: Simplify both sides of the equation.−7(k+9)=9(k−5)−14k(−7)(k)+(−7)(9)=(9)(k)+(9)(−5)+−14k(Distribute)−7k+−63=9k+−45+−14k−7k−63=(9k+−14k)+(−45)(Combine Like Terms)−7k−63=−5k+−45−7k−63=−5k−45Step 2: Add 5k to both sides.−7k−63+5k=−5k−45+5k−2k−63=−45Step 3: Add 63 to both sides.−2k−63+63=−45+63−2k=18Step 4: Divide both sides by -2.−2k−2=18−2k=−9Answer:k=−9
