1. **State the problem:** Solve for $s$ in the equation $(19s - 18) + (33s - 36) = 32s$. 2. **Combine like terms on the left side:** $$19s - 18 + 33s - 36 = 32s$$ $$ (19s + 33s) - (18 + 36) = 32s$$ $$52s - 54 = 32s$$ 3. **Isolate the variable terms on one side:** $$52s - 54 = 32s$$ Subtract $32s$ from both sides: $$52s - 32s - 54 = 32s - 32s$$ $$20s - 54 = 0$$ 4. **Add 54 to both sides:** $$20s - 54 + 54 = 0 + 54$$ $$20s = 54$$ 5. **Divide both sides by 20 to solve for $s$:** $$\frac{20s}{\cancel{20}} = \frac{54}{20}$$ $$s = \frac{54}{20}$$ 6. **Simplify the fraction:** $$s = \frac{54 \div 2}{20 \div 2} = \frac{27}{10}$$ **Final answer:** $$s = \frac{27}{10}$$ or 2.7