Question

solve for b. 9 = -7 + 2(1 + b) b =

Explanation:

Step1: Add 7 to both sides

To isolate the term with \( b \), we first add 7 to both sides of the equation \( 9 = -7 + 2(1 + b) \). This gives us \( 9 + 7 = -7 + 7 + 2(1 + b) \), which simplifies to \( 16 = 2(1 + b) \).

Step2: Divide both sides by 2

Next, we divide both sides of the equation \( 16 = 2(1 + b) \) by 2. So, \( \frac{16}{2} = \frac{2(1 + b)}{2} \), which simplifies to \( 8 = 1 + b \).

Step3: Subtract 1 from both sides

Finally, we subtract 1 from both sides of the equation \( 8 = 1 + b \) to solve for \( b \). This gives \( 8 - 1 = 1 - 1 + b \), so \( b = 7 \).

Answer:

\( 7 \)