1. **State the problem:** Solve the algebraic expression $3((6-0.5q)-2q)$. 2. **Understand the expression:** Inside the parentheses, we have $6 - 0.5q - 2q$. We will simplify this first. 3. **Combine like terms inside the parentheses:** $$6 - 0.5q - 2q = 6 - (0.5q + 2q) = 6 - 2.5q$$ 4. **Multiply the entire expression by 3:** $$3(6 - 2.5q) = 3 \times 6 - 3 \times 2.5q = 18 - 7.5q$$ 5. **Final simplified expression:** $$18 - 7.5q$$ This is the simplified form of the given algebraic expression. If you want to solve for $q$, you need an equation (e.g., set equal to a value).