Q31. - Algebra 1

Question

Simplify each expression. If not possible, write simplified.

$\mathbf{7}\mathit{m}\mathbf{+}\mathbf{7}\mathbf{-}\mathbf{5}\mathit{m}$

Step-by-Step Solution

Answer

The simplified expression of $7m+7-5m$ is $\mathbf{2}\mathit{m}\mathbf{+}\mathbf{7}$.

Step 1. Identify the like terms.

Like terms are the terms having the same variables with the same power.

The given expression has m as like terms.

Step 2. Combine the like terms.

$7m+7-5m=\left(7m-5m\right)+7 \left[AssociativeProperty\right]$

Step 3. Simplify the expression.

A simplified expression does not contain any like terms or parentheses.

$\begin{array}{l}7m+7-5m=\left(7m-5m\right)+7 \left[Subtract\right]\\ =2m+7\end{array}$