Subjects algebra

Solve For P 109Ea0

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1. **State the problem:** Solve the equation $$20p + 14 = 6 - 5p$$ for the variable $p$. 2. **Write down the formula and rules:** To solve for $p$, we need to isolate $p$ on one side of the equation. This involves combining like terms and using inverse operations such as addition, subtraction, multiplication, and division. 3. **Step 1: Move all terms involving $p$ to one side.** Add $5p$ to both sides: $$20p + 5p + 14 = 6 - 5p + 5p$$ $$25p + 14 = 6$$ 4. **Step 2: Move constant terms to the other side.** Subtract $14$ from both sides: $$25p + 14 - 14 = 6 - 14$$ $$25p = -8$$ 5. **Step 3: Solve for $p$ by dividing both sides by $25$:** $$p = \frac{-8}{25}$$ 6. **Step 4: Simplify the fraction:** $$p = -0.32$$ **Final answer:** $p = -0.32$, which corresponds to Option B.