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Let www denote a non-real complex number where w7=1w^7 = 1 w7=1. Define a=w+w2+w4a = w+w^2+w^4 a=w+w2+w4 and b=w3+w5+w6b = w^3 + w^5 + w^6b=w3+w5+w6.
If aaa and bbb are roots of the equation x2+px+q=0x^2+px+q=0 x2+px+q=0 for constants pp p and qqq, what is the value of 10p+q10p + q 10p+q?
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