To solve the equation \( 7(9 + k) = 84 \), follow these steps:

1. **Distribute** the 7 to both terms inside the parentheses:
   \[
   7 \times 9 + 7 \times k = 84
   \]
   \[
   63 + 7k = 84
   \]

2. **Subtract 63** from both sides of the equation to isolate the term with \( k \):
   \[
   7k = 84 - 63
   \]
   \[
   7k = 21
   \]

3. **Divide both sides** of the equation by 7 to solve for \( k \):
   \[
   k = \frac{21}{7}
   \]
   \[
   k = 3
   \]

Thus, the solution is \( k = 3 \).

Would you like further details or have any questions?

Here are five related questions:
1. What is the value of \( k \) in the equation \( 5(8 + k) = 65 \)?
2. How would you solve the equation \( 6(10 + k) = 96 \)?
3. Can you solve for \( k \) in \( 8(5 + k) = 56 \)?
4. If \( 9(7 + k) = 90 \), what is \( k \)?
5. How do you distribute a constant across terms in parentheses in equations?

**Tip:** When solving equations, always perform operations step by step and check your work by substituting the solution back into the original equation.

Learn how to solve the equation 7(9 + k) = 84 with a detailed step-by-step solution. This problem involves algebraic equations and the distributive property. 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