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Simplifying -4(1 + p) = -8 + -2p (1 * -4 + p * -4) = -8 + -2p (-4 + -4p) = -8 + -2p Solving -4 + -4p = -8 + -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. -4 + -4p + 2p = -8 + -2p + 2p Combine like terms: -4p + 2p = -2p -4 + -2p = -8 + -2p + 2p Combine like terms: -2p + 2p = 0 -4 + -2p = -8 + 0 -4 + -2p = -8 Add '4' to each side of the equation. -4 + 4 + -2p = -8 + 4 Combine like terms: -4 + 4 = 0 0 + -2p = -8 + 4 -2p = -8 + 4 Combine like terms: -8 + 4 = -4 -2p = -4 Divide each side by '-2'. p = 2 Simplifying p = 2
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