Final answer:
The problem 4(r-3)=30 is similar to the other given problems because they are all linear equations which require isolating the variable to solve. The step-by-step solution involves distributing, isolating the term with the variable, and performing inverse operations to find the value of the variable.
Step-by-step explanation:
The problem 4(r-3)=30 is similar to the problems 4-(r/5)=6 and 9r+8=35 because all three are examples of linear equations. To solve these types of equations, one must isolate the variable on one side of the equation. Here's a step-by-step explanation for solving the equation 4(r-3)=30:
- Distribute the 4 into the parenthesis: 4r - 12 = 30.
- Add 12 to both sides of the equation to isolate the term with the variable: 4r = 42.
- Finally, divide both sides by 4 to solve for r: r = 10.5.
To solve the other similar problems provided, you would use the same approach of isolating the variable and performing inverse operations until you solve for the variable.