1. **State the problem:** Solve the equation $$4(t - 15) + 3 = 19$$ for $$t$$. 2. **Apply the distributive property:** Multiply 4 by each term inside the parentheses. $$4(t - 15) = 4t - 60$$ So the equation becomes: $$4t - 60 + 3 = 19$$ 3. **Combine like terms:** $$4t - 57 = 19$$ 4. **Isolate the term with $$t$$:** Add 57 to both sides. $$4t - 57 + 57 = 19 + 57$$ $$4t = 76$$ 5. **Solve for $$t$$:** Divide both sides by 4. $$\frac{\cancel{4}t}{\cancel{4}} = \frac{76}{4}$$ $$t = 19$$ **Final answer:** $$t = 19$$