Add : $- 7 m n + 5, 12 m n + 2, 9 m n - 8, - 2 m n - 3$

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Solution

Combining the like terms and adding:
$\begin{array}{rcl} - 7 m n + 5 + 12 m n + 2 + (9 m n - 8) + (- 2 m n - 3) \\ = & - 7 m n + 5 + 12 m n + 2 + 9 m n - 8 - 2 m n - 3 \\ = & - 7 m n + 12 m n + 9 m n - 2 m n + 5 + 2 - 8 - 3 \\ = & m n (- 7 + 12 + 9 - 2) + (5 + 2 - 8 - 3) \\ = & m n (- 9 + 21) + (7 - 11) \\ = & m n (12) - 4 \\ = & 12 m n - 4 \end{array}$
Hence, On adding $- 7 m n + 5, 12 m n + 2, 9 m n - 8, - 2 m n - 3$ we get $12 m n - 4$ .

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