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Simplifying -8(8p + 6) = 8 + -8p Reorder the terms: -8(6 + 8p) = 8 + -8p (6 * -8 + 8p * -8) = 8 + -8p (-48 + -64p) = 8 + -8p Solving -48 + -64p = 8 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -48 + -64p + 8p = 8 + -8p + 8p Combine like terms: -64p + 8p = -56p -48 + -56p = 8 + -8p + 8p Combine like terms: -8p + 8p = 0 -48 + -56p = 8 + 0 -48 + -56p = 8 Add '48' to each side of the equation. -48 + 48 + -56p = 8 + 48 Combine like terms: -48 + 48 = 0 0 + -56p = 8 + 48 -56p = 8 + 48 Combine like terms: 8 + 48 = 56 -56p = 56 Divide each side by '-56'. p = -1 Simplifying p = -1
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