Solve for 

q

.

9

q

–

8

q

+

q

=

14

q

=

To solve for \( q \) in the equation:

\[
9q - 8q + q = 14q
\]

### Step 1: Simplify the left side of the equation.

Combine like terms:

\[
(9q - 8q + q) = 2q
\]

So the equation simplifies to:

\[
2q = 14q
\]

### Step 2: Subtract \( 14q \) from both sides to get all the \( q \)-terms on one side.

\[
2q - 14q = 0
\]

This simplifies to:

\[
-12q = 0
\]

### Step 3: Solve for \( q \).

Divide both sides by \(-12\):

\[
q = \frac{0}{-12}
\]

\[
q = 0
\]

So, the value of \( q \) is \( 0 \).

Would you like more details or have any questions?

---

Here are some related questions you might find interesting:
1. How would the solution change if the equation were \( 9q - 8q + 2q = 14q \)?
2. What happens if you change the right side of the equation to \( 15q \)?
3. Can you solve for \( q \) in the equation \( 3q - 2q + q = 10q \)?
4. How can you verify your solution by substituting back into the original equation?
5. What if the equation involved fractions, such as \( \frac{9q}{2} - \frac{8q}{2} + q = 14q \)?

**Tip:** After simplifying equations, always check by substituting the solution back into the original equation to verify correctness.

Learn how to solve the equation 9q - 8q + q = 14q step-by-step. This problem involves algebraic simplification and solving linear equations. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation