Subjects algebra

Two Step Equation

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1. **State the problem:** Solve the two-step equation $$2 + 5d = 67$$ for $d$. 2. **Recall the formula and rules:** To solve for $d$, we need to isolate $d$ on one side of the equation. This involves undoing addition/subtraction first, then undoing multiplication/division. 3. **Step 1: Subtract 2 from both sides** to remove the constant term on the left: $$2 + 5d - 2 = 67 - 2$$ which simplifies to $$5d = 65$$ 4. **Step 2: Divide both sides by 5** to solve for $d$: $$\frac{5d}{5} = \frac{65}{5}$$ which simplifies to $$d = 13$$ 5. **Final answer:** $$\boxed{d = 13}$$ This means the value of $d$ that satisfies the equation is 13.