Question

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

Answer 1

\(3(5z-7)-2(9z-11)=4(8z-13)-17\)
\(\Rightarrow\) \(15z - 21 - 18z + 22 = 32z - 52 - 17\) (Opening the brackets)
\(\Rightarrow\) \(- 3z + 1 = 32z - 69\)
\(\Rightarrow\) \(- 3z - 32z = - 69 - 1\)
\(\Rightarrow\) \(- 35z = - 70\) 
\(\Rightarrow\) \(z = \frac{70}{35}\)
\(= 2\)