8.5+4(1-2.5k)=24.5 round to the nearest hundredth

Hi there! 

Your question: 

8.5 + 49(1-2.5k)=24.5

My  

8.5 + 4(1-2.5k) = 24.5 >>>>>>> first, you have to distribute

8.5 + 4 - 10k = 24.5 >>>>>>>> now, we are going to combine like terms.

12.5 - 10k = 24.5 >>>>>> now, we are going to subtract 12.5 on both sides 

-10k = 12 >>>>>>>>> finally, divide -10 on both sides

k = -1.2

Hope this helps you!

Your Problem:
8.5+4(1-2.5k)=24.5
1st step: subtract 8.5 from both sides
4(1-2.5k)=24.5-8.5
4(1-2.5k)=16
2nd step: Divide both sides by 4
(1-2.5k)=16/4
(1-2.5k)=4
3rd step: Opening up the parentheses
1-2.5k=4
4th step: Subtract 1 from both sides
-2.5k=4-1
-2.5k=3
4ht step: divide both sides by -2.5
k=-1.2