## keana one year ago 9r-2(r=3)=5(3r-4)-26 A: r= ? B: every real number is a solution C: the equation has no solution

1. Nnesha

two = equal signs ?

2. keana

3. Nnesha

$\huge\rm 9r-2(r+3)=5(3r-4)-26$ is this ur quesiton ?

4. keana

yeah

5. Nnesha

oh alright thats fine 1st) distribute parentheses by outside term

6. Nnesha

$\huge\rm 9r\color{blue}{-2}(r+3)=\color{ReD}{5}(3r-4)-26$ distribute (3r-4) by 5 and distribute (r+3) by -2

7. Nnesha

familiar with the distributive property ?

8. keana

9r-2r-6=15r-20--26?

9. Nnesha

nice combine like terms!

10. Nnesha

it's -26

11. keana

7r-6=15r+(-46)?

12. keana

-6=8r+(-46)?

13. Nnesha

right!

14. keana

now what?

15. Nnesha

now move the numbers to the other side of the equal sign

16. Nnesha

-46 to the left side then solve for r

17. keana

-40=8r r=-5

18. Nnesha

you should take the variables term on one side and number to the opposite side

19. Nnesha

nvm. that's right!

20. keana

21. Nnesha

wait a sec i have to check it1 more time

22. keana

i tried -5 and it said it was wrong so that cannot be right lol

23. Nnesha

would you add or subtract 46 both sides ?

24. Nnesha

it's already negative on the right side how would you cancel out -46 from right side ?

25. keana

i added 46 to each side

26. Nnesha

yes right so -6+46= ???

27. Nnesha

46 id greater than -6 so sign would be what as a final answer ?

28. keana

i got -40

29. Nnesha

no

30. keana

-6+46 is -40

31. Nnesha

no

32. Nnesha

if bigger number is negative then answer would be negative -3+2=-1 3-2=1

33. Nnesha

do you see the difference ?

34. keana

ok

35. Nnesha

so 46 is greater than 6 right ?

36. keana

yeah

37. Nnesha

yes so if 46 is positive answer would be positive when you subtract if 46 is negative then would be negative -46+6=-40 but 46-6=40

38. keana

ok yeah i made a typo on my calculator

39. keana

so 5?

40. Nnesha

yes right

41. Nnesha

you can check ur answer substitute x for 5 if you get equal sides then yes 5 is right !

42. keana

ok it was right, awesome

43. Nnesha

i mean for r**

44. keana

thanks a ton

45. Nnesha

yep:=) if you replaced r for -5 you wouldn't get the equal sides

46. Nnesha

my pleasure!! :=)