To solve the equation \(-3(u + 9) = -6\), follow these steps:

1. **Distribute the \(-3\)** to both terms inside the parentheses:
   \[
   -3 \times u + (-3) \times 9 = -6
   \]
   This simplifies to:
   \[
   -3u - 27 = -6
   \]

2. **Add 27** to both sides of the equation to isolate the term with \(u\):
   \[
   -3u - 27 + 27 = -6 + 27
   \]
   Simplifying this, we get:
   \[
   -3u = 21
   \]

3. **Divide both sides** by \(-3\) to solve for \(u\):
   \[
   u = \frac{21}{-3}
   \]
   Simplifying, we find:
   \[
   u = -7
   \]

So, the solution is \( u = -7 \).

Would you like more details, or do you have any questions?

Here are five related questions:
1. How would you solve \(5(u + 2) = 20\)?
2. What happens if you distribute a positive number instead of a negative one?
3. Can you solve \(-4(2x - 5) = 16\)?
4. How would the equation change if the original right side were \(-12\) instead of \(-6\)?
5. How can you verify the solution to \(-3(u + 9) = -6\) after solving it?

**Tip:** Always distribute the multiplication first when solving linear equations involving parentheses.

Learn how to solve the equation -3(u + 9) = -6 with a detailed step-by-step solution. This problem covers linear equations and the distributive property in mathematics. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation