Final answer:
In order to solve the equation B = (r + z/3)m for r, distribute the m, subtract z/3m from both sides, and divide by m to solve for r.
Step-by-step explanation:
To solve the equation B = (r + z/3)m for r, you need to isolate r on one side of the equation.
- Step 1: Start by distributing the m to both terms inside the parentheses: B = rm + z/3m.
- Step 2: Subtract z/3m from both sides to isolate the rm term: B - z/3m = rm.
- Step 3: Divide both sides by m to solve for r: (B - z/3m) / m = r.
So, the solution is r = (B - z/3m) / m.