Question

Simplify the expression: 10b + 3 + 2b - 1+ 2b

Answer 1

Use the properties of real numbers to simplify the given expression:

`10b+3+2b-1+2b`

Use the commutative property to reorder the terms, so that like terms appear gathered:

`10b+3+2b-1+2b=10b+2b+2b+3-1`

Combine like terms by adding their coefficients. Then, add the constant terms:

`\begin{gathered} 10b+2b+2b+3-1=(10+2+2)b+3-1 \\ =14b+3-1 \\ =14b+2 \end{gathered}`

Therefore:

`10b+3+2b-1+2b=14b+2`