Let's solve the equation step by step.

### Given equation:
\[ 2(k - 14) - 1 = 5 \]

### Step 1: Distribute the 2 to both terms inside the parentheses:
\[ 2k - 28 - 1 = 5 \]

### Step 2: Combine like terms on the left side:
\[ 2k - 29 = 5 \]

### Step 3: Add 29 to both sides to isolate the term with \( k \):
\[ 2k = 34 \]

### Step 4: Divide both sides by 2 to solve for \( k \):
\[ k = 17 \]

### Final Answer:
\[ k = 17 \]

Would you like more details on any of these steps or have any questions?

Here are some related questions you might find interesting:
1. How do you solve linear equations with variables on both sides?
2. What is the process of distributing in algebraic expressions?
3. How do you solve equations with multiple steps?
4. Can you explain how to combine like terms in an equation?
5. How would this problem change if the equation were \(2(k - 14) + 1 = 5\)?

**Tip:** Always double-check your work by substituting the solution back into the original equation to verify your answer.

Learn how to solve the equation 2(k - 14) - 1 = 5 with a detailed step-by-step solution. This problem covers key algebraic concepts including linear equations, the distributive property, and solving equations. Suitable for students in Grades 7-9.

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