$(7 \times 82) + (7 \times 18) =$

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Solution

We know that, multiplying two numbers separately by 7 and then adding is same as multiplying the sum of two numbers by 7.

i.e., If $x$ and $y$ are any two numbers, then $7 x + 7 y = 7 (x + y)$

So, $(7 \times 82) + (7 \times 18)$
$= 7 \times (82 + 18)$
$= 7 \times 100 = 700$

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