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)
$\Rightarrow$ $- 3z + 1 = 32z - 69$
$\Rightarrow$ $- 3z - 32z = - 69 - 1$
$\Rightarrow$ $- 35z = - 70$
$\Rightarrow$ $z = \frac{70}{35}$
$= 2$