Solve for b: 2(b + 3) = 10.

To solve the equation ( 2(b + 3) = 10 ), you first distribute the 2 across the parentheses. This gives:

[ 2b + 6 = 10. ]

Next, you want to isolate the ( 2b ) term. To do this, subtract 6 from both sides of the equation:

[ 2b = 10 - 6. ]

This simplifies to:

[ 2b = 4. ]

Now, to solve for ( b ), divide both sides by 2:

[ b = \frac{4}{2}. ]

This results in:

[ b = 2. ]

Thus, the correct solution is that ( b ) equals 2. This means that when you plug ( b = 2 ) back into the original equation, both sides equal 10, confirming that it is indeed the correct solution.

The other possible answers do not satisfy the equation upon substitution, indicating they cannot be solutions to the equation.