Question

Solve the equation: 0.6r + 3 = 0.1r - 7

Answer 1

To solve the equation 0.6r + 3 = 0.1r - 7, subtract 0.1r from both sides, combine like terms, subtract 3 from both sides, and finally divide by 0.5 to find that r = -20.

Step-by-step explanation:

To solve the equation 0.6r + 3 = 0.1r - 7, we need to isolate the variable r. Here are the steps to do this:

1. Subtract 0.1r from both sides of the equation to get the terms with r on the same side:
   
2. Simplify the equations by combining like terms:
   
3. Subtract 3 from both sides of the equation to move the constant term to the opposite side:
   
4. Finally, divide both sides by 0.5 to solve for r:
   

Therefore, the solution to the equation is r = -20.