1. **State the problem:** Solve the equation $$11b - 17 = -3b + 39$$. 2. **Write down the formula and rules:** To solve for $b$, we need to isolate $b$ on one side of the equation by performing the same operations on both sides. 3. **Add $3b$ to both sides to move all $b$ terms to the left:** $$11b - 17 + 3b = -3b + 39 + 3b$$ $$14b - 17 = 39$$ 4. **Add 17 to both sides to move constants to the right:** $$14b - 17 + 17 = 39 + 17$$ $$14b = 56$$ 5. **Divide both sides by 14 to solve for $b$:** $$b = \frac{56}{14}$$ 6. **Simplify the fraction:** $$b = \frac{\cancel{56}^{4} \times 14}{\cancel{14}^{1} \times 14} = 4$$ **Final answer:** $$b = 4$$