Would you Please Solve it and explain little14(.5 + k) = - 14

Question

Would you Please Solve it and explain little
`14(.5 + k) = - 14`

Answer 1

To solve the given equation, we first apply the distributive property on the left side.

So, we have:

`\begin{gathered} 14(0.5+k)=-14 \\ 14\cdot0.5+14\cdot k=-14 \\ 7+14k=-14 \\ \text{ Subtract 7 from both sides of the equation} \\ 7-7+14k=-14-7 \\ 14k=-21 \\ \text{ Divide by 14 from both sides} \\ (14k)/(14)=-(21)/(14) \\ k=-(21)/(14) \end{gathered}`

Finally, we simplify.

`\begin{gathered} k=-(3\cdot7)/(2\cdot7) \\ $$\boldsymbol{k=-(3)/(2)}$$ \end{gathered}`

Therefore, the solution of the given equation is -3/2.