Chapter 4.2, Problem 11CYU

To determine

To simplify: The given expression.

Answer to Problem 11CYU

  $m+5$

Explanation of Solution

Given information:

  $-3\left(m-1\right)+4m+2$

Calculation:

  $\begin{array}{l}-3\left(m-1\right)+4m+2=-3m+3+4m+2\mathrm{...}\left(\text{Distributive property}\right)\\ \Rightarrow -3\left(m-1\right)+4m+2=-3m+4m+3+2\mathrm{...}\left(\text{Commutative property}\right)\\ \Rightarrow -3\left(m-1\right)+4m+2=\left(-3+4\right)m+5\mathrm{...}\left(\text{Distributive property}\right)\\ \Rightarrow -3\left(m-1\right)+4m+2=\left(1\right)m+5\\ \Rightarrow -3\left(m-1\right)+4m+2=m+5\end{array}$