24 + 8p = – 8(5 + 3p)

Step-by-step explanation:

24 + 8p = -8(5+ 3p)       Original Problem

24 + 8p = -8(5) + -8(3p)   Distributive property

24 + 8p = -40 - 24p       Simplification

24 + 8p - 24 = -40 - 24p -24     Grouping the constants

8p = -64 - 24p                 Simplification

8p + 24p = -64 -24p +24p   Grouping the variables

32p = -64                          Simplification

32p/32 = -64/32               Isolating the variable

p = -2                                 The Answer

I hope this helps!!!

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geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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