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.
Solve For P 109Ea0
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