Sure, let's simplify the given expression step by step. The expression is:
[tex]\[ 2 + 5(3b + 9) - b \][/tex]
1. Distribute the 5 within the parentheses:
[tex]\[ 2 + 5 \cdot 3b + 5 \cdot 9 - b \][/tex]
2. Simplify the distributions:
[tex]\[ 2 + 15b + 45 - b \][/tex]
3. Combine like terms:
Combine the constant terms:
[tex]\[ 2 + 45 = 47 \][/tex]
Combine the [tex]\( b \)[/tex] terms:
[tex]\[ 15b - b = 14b \][/tex]
4. Write the final simplified expression:
[tex]\[ 14b + 47 \][/tex]
So, the simplified form of the expression [tex]\( 2 + 5(3b + 9) - b \)[/tex] is:
[tex]\[ 14b + 47 \][/tex]
