SOLUTION: What four consecutive integers equal negative 264?

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Question 831491: What four consecutive integers equal negative 264?
Answer by JulietG(1812)   (Show Source): You can put this solution on YOUR website!
Let A,B,C,D be the integers
A + B + C + D = -264
A-2 = B (because they are consecutively odd -- 2 away from each other)
A-4 = C
A-6 = D
Now we'll plug in the equivalent values
A + (A-2) + (A-4) + (A-6) = -264
A + A - 2 + A - 4 + A - 6 =-264
Add the As, and do the math
4A -12 = -264
Add 12 to each side
4A = -252
Divide each side by 4
A = -63
If A = -63, then B = -63 -2 = -65
Solution: -63, -65,-67,-69 <<--
Plug them in to test
Added together, -63 + -65 + -67 + -69 = -264
Success!

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