Final answer:
To solve the equation -4r-11=14r+9, start by moving variable terms to one side and constant terms to the other side. Combine like terms, isolate the variable, and solve for r to find that r = -1/13.
Step-by-step explanation:
To solve the equation -4r-11=14r+9, we want to isolate r on one side of the equation by performing algebraic operations. To do this, we can start by moving the variable terms to one side and the constant terms to the other side. Adding 4r to both sides and subtracting 9 from both sides, we get:
-4r - 4r - 11 + 9 = 14r + 4r + 9 - 9
-8r - 2 = 18r
Now, we combine like terms on both sides:
-8r = 18r + 2
Next, we want to isolate the variable, so we can subtract 18r from both sides:
-8r - 18r = 18r - 18r + 2
-26r = 2
Finally, we can solve for r by dividing both sides by -26:
-26r/-26 = 2/-26
r = -2/26
So the solution to the equation is r = -1/13.