Question

Solve the equation4k+5=3(4k-14)+71

Answer 1

Solve:

`4k+5=3(4k-14)+71`

open the bracket,

`4k+5=12k-42+71`

collect like terms,

`4k-12k=-42+71-5`

simplify,

`\begin{gathered} -8k=24 \\ \text{ divide through by -8} \\ (-8k)/(-8)=(24)/(-8) \\ k=-3 \end{gathered}`

Therefore, k = -3