1. **Stating the problem:** Make $T$ the subject of the relation $$\frac{bg}{T} = \frac{w + m}{n}$$ 2. **Formula and rules:** To make $T$ the subject, we need to isolate $T$ on one side of the equation. This involves algebraic manipulation such as cross-multiplication and division. 3. **Step-by-step solution:** - Start with the equation: $$\frac{bg}{T} = \frac{w + m}{n}$$ - Cross-multiply to get rid of the denominators: $$bg \cdot n = T \cdot (w + m)$$ - This simplifies to: $$bgn = T(w + m)$$ - Divide both sides by $(w + m)$ to isolate $T$: $$T = \frac{bgn}{w + m}$$ 4. **Final answer:** $$T = \frac{bgn}{w + m}$$