find the value of 5u+6 given that -3u-3=6

We are given the equation:

\[
-3u - 3 = 6
\]

Let's solve for \( u \):

### Step 1: Add 3 to both sides of the equation
\[
-3u - 3 + 3 = 6 + 3
\]
\[
-3u = 9
\]

### Step 2: Divide both sides by -3 to solve for \( u \)
\[
u = \frac{9}{-3} = -3
\]

### Step 3: Substitute \( u = -3 \) into the expression \( 5u + 6 \)
\[
5u + 6 = 5(-3) + 6 = -15 + 6 = -9
\]

Thus, the value of \( 5u + 6 \) is \( \boxed{-9} \).

Would you like further clarification or details?

Here are 5 related questions:
1. What is the solution for \( u \) in the equation \( 4u - 5 = 15 \)?
2. How would you solve for \( u \) if the equation was \( 2u + 7 = 13 \)?
3. Can you determine the value of \( 4u + 8 \) given that \( -2u + 1 = 3 \)?
4. If the equation was \( -5u - 2 = 8 \), what would the value of \( u \) be?
5. What is the general process to solve for \( u \) in a linear equation?

**Tip:** Always perform the same operation on both sides of the equation to maintain balance.

Find the value of 5u + 6 given that -3u - 3 = 6

Learn how to solve the linear equation -3u - 3 = 6 and find the value of 5u + 6 with a step-by-step solution. This algebra problem focuses on solving for 'u' and substituting it into another expression. Suitable for students in Grades 6-8.

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