If 3p + 7 = 25, the value of p will be

Q: If 3p + 7 = 25, the value of p will be

To solve the equation $3p + 7 = 25$ and find the value of $p$, we need to isolate $p$ on one side of the equation. Here is a step-by-step explanation: 1. **Subtract 7 from both sides of the equation**: \[ 3p + 7 - 7 = 25 - 7 \] This simplifies to: \[ 3p = 18 \] 2. **Divide both sides by 3 to solve for $p$**: \[ \frac{3p}{3} = \frac{18}{3} \] This simplifies to: \[ p = 6 \] Thus, the value of $p$ is 6, which corresponds to Option 1. **Explanation for why each of the other options is incorrect:** - **Option 2 (32)**: If $p$ were 32, substituting back into the equation would give: \[ 3(32) + 7 = 96 + 7 = 103 \] This does not equal 25, so Option 2 is incorrect. - **Option 3 (28)**: If $p$ were 28, substituting back into the equation would give: \[ 3(28) + 7 = 84 + 7 = 91 \] This does not equal 25, so Option 3 is incorrect. - **Option 4 (9)**: If $p$ were 9, substituting back into the equation would give: \[ 3(9) + 7 = 27 + 7 = 34 \] This does not equal 25, so Option 4 is incorrect. Therefore, the only correct solution that satisfies the equation $3p + 7 = 25$ is $p = 6$, which is Option 1.

Question

Accepted Answer

To solve the equation $3p + 7 = 25$ and find the value of $p$, we need to isolate $p$ on one side of the equation. Here is a step-by-step explanation:

1. **Subtract 7 from both sides of the equation**:  
   $$
   3p + 7 - 7 = 25 - 7
   $$
   This simplifies to:
   $$
   3p = 18
   $$

2. **Divide both sides by 3 to solve for $p$**:  
   $$
   \frac{3p}{3} = \frac{18}{3}
   $$
   This simplifies to:
   $$
   p = 6
   $$

Thus, the value of $p$ is 6, which corresponds to Option 1.

**Explanation for why each of the other options is incorrect:**

- **Option 2 (32)**: If $p$ were 32, substituting back into the equation would give:
  $$
  3(32) + 7 = 96 + 7 = 103
  $$
  This does not equal 25, so Option 2 is incorrect.

- **Option 3 (28)**: If $p$ were 28, substituting back into the equation would give:
  $$
  3(28) + 7 = 84 + 7 = 91
  $$
  This does not equal 25, so Option 3 is incorrect.

- **Option 4 (9)**: If $p$ were 9, substituting back into the equation would give:
  $$
  3(9) + 7 = 27 + 7 = 34
  $$
  This does not equal 25, so Option 4 is incorrect.

Therefore, the only correct solution that satisfies the equation $3p + 7 = 25$ is $p = 6$, which is Option 1.