Let's solve the equation \( 3p + \frac{6}{3} = \frac{p}{2} \).

### Step 1: Simplify the equation
First, simplify the fraction \(\frac{6}{3}\) on the left side:

\[
3p + 2 = \frac{p}{2}
\]

### Step 2: Eliminate the fraction
To eliminate the fraction, multiply every term in the equation by 2, the denominator on the right-hand side:

\[
2 \cdot (3p + 2) = 2 \cdot \left(\frac{p}{2}\right)
\]

This simplifies to:

\[
6p + 4 = p
\]

### Step 3: Isolate the variable
Move all terms involving \(p\) to one side of the equation:

\[
6p - p = -4
\]

This simplifies to:

\[
5p = -4
\]

### Step 4: Solve for \(p\)
Finally, divide both sides by 5 to solve for \(p\):

\[
p = -\frac{4}{5}
\]

So, the solution is \( p = -\frac{4}{5} \).

Would you like further details on any step, or do you have any questions?

### 5 Related Questions:
1. How do you solve equations that involve fractions and variables?
2. What are the steps to solve linear equations with variables on both sides?
3. How can you check if your solution to an equation is correct?
4. How do you solve equations that have a variable in the denominator?
5. What methods can be used to simplify algebraic expressions before solving?

### Tip:
When working with fractions in equations, multiplying every term by the least common denominator (LCD) can simplify the equation and make solving easier.

Learn how to solve the equation 3p + 6/3 = p/2 step-by-step with a detailed solution. This problem involves equations with fractions and variable isolation. Suitable for students in Grades 7-9.

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