[tex]3-4(2k-5)=71\qquad|\text{use distributive property}\\\\3+(-4)(2k)+(-4)(-5)=71\\\\3-8k+20=71\qquad|\text{combine like terms}\\\\(3+20)-8k=71\\\\23-8k=71\qquad|\text{subtract 23 from both sides}\\\\-8k=48\qquad|\text{divide both sides by (-8)}\\\\\boxed{k=-6}[/tex]
