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