Use the properties of real numbers to simplify the given expression:
[tex]10b+3+2b-1+2b[/tex]Use the commutative property to reorder the terms, so that like terms appear gathered:
[tex]10b+3+2b-1+2b=10b+2b+2b+3-1[/tex]Combine like terms by adding their coefficients. Then, add the constant terms:
[tex]\begin{gathered} 10b+2b+2b+3-1=(10+2+2)b+3-1 \\ =14b+3-1 \\ =14b+2 \end{gathered}[/tex]Therefore:
[tex]10b+3+2b-1+2b=14b+2[/tex]