Question

r + 4.6 + 9 = 3r - 11.7 - 7r

Answer 1

r+4.6+9=3r-11.7-7r

combine all like terms on one side of the equal sign

r+4.6-4.6+9=3r-11.7-7r-4.6
r+9-9=3r-11.7-7r-4.6-9
r-3r=3r-3r-11.7-7r-4.6-9
r-3r+7r=-11.7-4.6-9-7r+7r
r-3r+7r=-11.7-4.6-9

add them all into one term on each: 

5r=-25.3

divide by 5 on both sides: 

r= -5.06