Question

3(5z + 1) =33Solve for z

Answer 1

The given equation is,

`3(5z+1)=33`

Solve for z

Divide both sides by 3

`\begin{gathered} (3(5z+1))/(3)=(33)/(3) \\ 5z+1=11 \end{gathered}`

Add -1 to both sides

`\begin{gathered} 5z+1-1=11-1 \\ 5z+0=10 \\ 5z=10 \end{gathered}`

Divide both sides by 5

`\begin{gathered} (5z)/(5)=(10)/(5) \\ z=2 \end{gathered}`

Therefore,

`z=2`