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The equation you provided is:

\[
\frac{6}{2p + 3} = \frac{5}{8}
\]

To solve for \( p \), follow these steps:

### Step 1: Cross-multiply
Since we have two fractions set equal to each other, we can cross-multiply:

\[
6 \times 8 = 5 \times (2p + 3)
\]

This simplifies to:

\[
48 = 5(2p + 3)
\]

### Step 2: Expand the right-hand side
Distribute the 5 on the right-hand side:

\[
48 = 10p + 15
\]

### Step 3: Isolate the \( p \) term
Subtract 15 from both sides:

\[
48 - 15 = 10p
\]

\[
33 = 10p
\]

### Step 4: Solve for \( p \)
Divide both sides by 10:

\[
p = \frac{33}{10} = 3.3
\]

So, the solution is \( p = 3.3 \).

Would you like any more details or explanations?

### Related Questions:
1. How do you check the solution to this type of equation?
2. How do you solve an equation if the variable appears in multiple places?
3. What if the fractions involved were negative? How would the solution change?
4. Can this process be used to solve equations with variables in the denominator on both sides?
5. What happens if the denominator contains a quadratic expression?

### Tip:
Always simplify both sides of an equation as much as possible before solving for the variable.

Solve (6 / (2p + 3)) = 5 / 8. Give your answer as a decimal.

Learn how to solve the algebraic equation (6 / (2p + 3)) = 5 / 8 using cross-multiplication. This step-by-step solution helps students in Grades 7-9 understand core algebra concepts.

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