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Simplifying -6(p + 5) = -16 + -8p Reorder the terms: -6(5 + p) = -16 + -8p (5 * -6 + p * -6) = -16 + -8p (-30 + -6p) = -16 + -8p Solving -30 + -6p = -16 + -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. -30 + -6p + 8p = -16 + -8p + 8p Combine like terms: -6p + 8p = 2p -30 + 2p = -16 + -8p + 8p Combine like terms: -8p + 8p = 0 -30 + 2p = -16 + 0 -30 + 2p = -16 Add '30' to each side of the equation. -30 + 30 + 2p = -16 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = -16 + 30 2p = -16 + 30 Combine like terms: -16 + 30 = 14 2p = 14 Divide each side by '2'. p = 7 Simplifying p = 7
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