Question

Simplify and solve the following linear equation: $3(5z-7)-2(9z-11)=4(8z-13)-17$

Answer 1

Given: $3(5z-7)-2(9z-11)=4(8z-13)-17$

$$\begin{gathered} 3(5z–7)–2(9z–11)=4(8z–13)–17 \\ 15z–21–18z+22=32z–52–17 \end{gathered}$$

Rearranging the equation and combining like terms we get

$$\begin{gathered} 15z–18z–32z=-52–17+21–22 \\ -35z=-70 \\ z=-70/-35 \\ z=2 \end{gathered}$$

Therefore, $z=2$.