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Simplifying -8(1 + -2p) = -36 + 2p (1 * -8 + -2p * -8) = -36 + 2p (-8 + 16p) = -36 + 2p Solving -8 + 16p = -36 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -8 + 16p + -2p = -36 + 2p + -2p Combine like terms: 16p + -2p = 14p -8 + 14p = -36 + 2p + -2p Combine like terms: 2p + -2p = 0 -8 + 14p = -36 + 0 -8 + 14p = -36 Add '8' to each side of the equation. -8 + 8 + 14p = -36 + 8 Combine like terms: -8 + 8 = 0 0 + 14p = -36 + 8 14p = -36 + 8 Combine like terms: -36 + 8 = -28 14p = -28 Divide each side by '14'. p = -2 Simplifying p = -2
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