To solve the equation \( 8q + 6 = 4q - 14 \), follow these steps:

1. **Subtract** \(4q\) from both sides to get all the \(q\) terms on one side:
   \[
   8q - 4q + 6 = -14
   \]
   \[
   4q + 6 = -14
   \]

2. **Subtract** 6 from both sides to isolate the \(q\) term:
   \[
   4q = -20
   \]

3. **Divide** both sides by 4 to solve for \(q\):
   \[
   q = -5
   \]

So, the solution is \( q = -5 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. What if the equation had been \( 8q + 6 = 5q - 10 \)? How would the solution change?
2. What steps can be taken if the variable appears on both sides of the equation?
3. How can you verify your solution after solving an equation?
4. Why is it important to perform the same operation on both sides of an equation?
5. How do you solve equations involving fractions or decimals?

**Tip:** When solving equations, always aim to simplify the equation as much as possible before solving for the variable.

Learn how to solve the linear equation 8q + 6 = 4q - 14 with a detailed step-by-step solution. This problem involves basic algebraic operations, including simplifying equations and isolating variables. Suitable for students in Grades 7-9.

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