Solve for *b*.



–1 − 7*b* = –19 − *b*

*b* = 

To solve for \( b \) in the equation \( -1 - 7b = -19 - b \), follow these steps:

1. **Combine like terms**:
   
   Add \( 7b \) to both sides to move the terms involving \( b \) to one side:
   \[
   -1 - 7b + 7b = -19 - b + 7b
   \]

2. **Simplify the equation**:
   \[
   -1 = -19 + 6b
   \]

3. **Isolate the variable \( b \)**:
   
   Add 19 to both sides to isolate the term with \( b \):
   \[
   -1 + 19 = -19 + 19 + 6b
   \]
   \[
   18 = 6b
   \]

4. **Solve for \( b \)**:
   
   Divide both sides by 6:
   \[
   b = \frac{18}{6}
   \]
   \[
   b = 3
   \]

Therefore, the solution is \( b = 3 \).

Would you like any more details or have any questions?

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**Tip:** When isolating the variable, make sure to perform the same operation on both sides of the equation to maintain equality.

Learn how to solve the equation -1 - 7b = -19 - b step-by-step with detailed explanations and calculations. This problem covers solving linear equations and is suitable for students in Grades 7-9.

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