Exercise44

A student has (correctly) simplified an algebraic expression in the following steps. Between each pair of steps, identify the algebraic property that justifies moving from one step to the next.

\(\phantom{={}}{5\!\left(t+8\right)+8t}\)

\(={\left(5t+40\right)+8t}\)

\(={\left(40+5t\right)+8t}\)

\(={40+\left(5t+8t\right)}\)

\(={40+\left(5+8\right)t}\)

\(={40+13t}\)

\(={13t+40}\)

in-context