Answer:
r = 6
Step-by-step explanation:
Distribute -2 to (6 - 6r):
7r + 18 = -12 + 12r
Subtract 7r from both sides of the equation:
7r + 18 - 7r = -12 + 12r - 7r
18 = -12 + 5r
Add 12 to both sides of the equation to isolate 5r:
18 + 12 = -12 + 5r + 12
30 = 5r
Divide both sides of the equation by 5 to isolate r:
[tex]\frac{30}{5} = \frac{5r}{5}[/tex]
6 = r
To double check whether the value of r = 6 is correct, plug it into the original equation:
7r + 18 = -2(6 - 6r)
7(6) + 18 = -2[6 - 6(6)]
42 + 18 = -12 + 72
60 = 60
