Question

In the following exercises, simplify the following expressions by combining like terms.

$10a+7+5a-2+7a-4$

Short answer

$22a+1$

Step-by-step solution

Step 1. Given Information

The given expression is$10a+7+5a-2+7a-4$.

Step 2. Combine the like terms.

• Since 10a, 5a, 7a are like terms and 7, 2, 4 are like terms, rewrite the given expression by grouping the like terms.
• Combine the like terms by applying the order of operation.
• $\begin{array}{rcl}10a+5a+7a+7-2-4& =& 22a+7-6\\ & =& 22a+1\end{array}$
  

Step 3. Conclusion.

The simplified expression is$\begin{array}{rcl}& & 22a+1\end{array}$.