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Simplifying 8(1 + -8p) = 8 + p (1 * 8 + -8p * 8) = 8 + p (8 + -64p) = 8 + p Add '-8' to each side of the equation. 8 + -8 + -64p = 8 + -8 + p Combine like terms: 8 + -8 = 0 0 + -64p = 8 + -8 + p -64p = 8 + -8 + p Combine like terms: 8 + -8 = 0 -64p = 0 + p -64p = p Solving -64p = p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -64p + -1p = p + -1p Combine like terms: -64p + -1p = -65p -65p = p + -1p Combine like terms: p + -1p = 0 -65p = 0 Divide each side by '-65'. p = 0 Simplifying p = 0
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