name the property of real numbers illustated by the equation -4(x+4)=-4x-16

Answer:The given expression -4( x + 4 ) = -4 x - 16 illustrates the DISTRIBUTIVE PROPERTYStep-by-step explanation:DISTRIBUTIVE PROPERTY:This property states that if we multiply a number with sum of two number, it is equivalent to multiplying the number separately with two numbers and adding them.⇒ A ( B + C)  = A B  + A CHere, -4( x + 4 ) = -4x - 16Simplifying Left side with distributive property, we get-4( x + 4 )   = -4(x)  + (-4)(4)                   = -4x  - 16  =  Right SideHence, the given expression -4( x + 4 ) = -4 x - 16 illustrates the DISTRIBUTIVE PROPERTY