text: How do you solve 2( 4k + 6) < - 44?
  
  Mar 18, 2018
  
  $k < - 7$
  
  Explanation:
  
  $\text{distribute parenthesis on left side}$
  
  $8 k + 12 < - 44$
  
  $\text{subtract 12 from both sides}$
  
  $8 k \cancel{+ 12} \cancel{- 12} < - 44 - 12$
  
  $\Rightarrow 8 k < - 56$
  
  $\text{divide both sides by 8}$
  
  $\frac{\cancel{8} k}{\cancel{8}} < \frac{- 56}{8}$
  
  $\Rightarrow k < - 7 \text{ is the solution}$
  
  Mar 18, 2018
  
  $k < - 7$
  Refer to the explanation.
  
  Explanation:
  
  $2 \left(4 k + 6\right) < - 44$
  Dividing both sides by 2,
  $\frac{\cancel{2} \left(4 k + 6\right)}{\cancel{2}} < - 22$
  $4 k + 6 < - 22$
  Subtracting 6 from both sides,
  $4 k < - 28$
  Dividing both sides by 4,
  $k < - \frac{28}{4}$
  $\therefore k < - 7$
  
  Hope this helps :)