Answer:
r=-11
Step-by-step explanation:
Solve for r:
2 (3 r + 11) = 7 r - 3 r
7 r - 3 r = 4 r:
2 (3 r + 11) = 4 r
Expand out terms of the left hand side:
6 r + 22 = 4 r
Subtract 4 r from both sides:
(6 r - 4 r) + 22 = 4 r - 4 r
6 r - 4 r = 2 r:
2 r + 22 = 4 r - 4 r
4 r - 4 r = 0:
2 r + 22 = 0
Subtract 22 from both sides:
2 r + (22 - 22) = -22
22 - 22 = 0:
2 r = -22
Divide both sides of 2 r = -22 by 2:
(2 r)/2 = (-22)/2
2/2 = 1:
r = (-22)/2
2 | 1 | 1
| 2 | 2
- | 2 |
| | 2
| - | 2
| | 0:
Answer: r = -11
