Find the sum.
$(7 - b) + (3 b + 2)$

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Solution

Finding the sum of algebraic expressions :
$\begin{array}{rcl} (7 - b) + (3 b + 2) & = & 7 + (- b) + 3 b + 2 \\ = & (- b) + 3 b + 2 + 7 {Commutative property} \\ = & [(- b) + 3 b] + (2 + 7) {Group like terms} \\ = & (2 b) + 9 {Combine like terms} \end{array}$
Hence, the required sum of algebraic expression is $2 b + 9$

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