Respuesta :
Answer:
[tex]k = - 5[/tex]
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex]−3(k+7)−5k+4=23 \\ (−3)(k)+(−3)(7)+−5k+4=23(Distribute) \\−3k+−21+−5k+4=23 \\ (−3k+−5k)+(−21+4)=23(Combine Like Terms) \\ −8k+−17=23 \\ −8k−17=23[/tex]
Step 2: Add 17 to both sides.
[tex]−8k−17+17=23+17 \\ −8k=40[/tex]
Step 3: Divide both sides by -8.
[tex] \frac{ - 8k}{ - 8}= \frac{40}{ - 8} [/tex]
[tex]k = - 5[/tex]