The distributive property is used to solve the given problem,
Given
Equation; [tex]\rm -8(x-3y-9) = -8x+24y+72[/tex]
The distributive property says that the sum of two or more addends multiplied by a number gives you the same answer as distributing the multiplier, multiplying each addend separately, and adding the products together.
Therefore,
By applying distributive property in the equation;
[tex]\rm -8(x-3y-9) \\\\ =- 8 \times x+(-8)\times (-3y)-8\times (-9)\\\\= -8x+24y+72[/tex]
Hence, the distributive property is used to solve the given problem,
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