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Simplifying -2(p + 1) = 4p + -8 Reorder the terms: -2(1 + p) = 4p + -8 (1 * -2 + p * -2) = 4p + -8 (-2 + -2p) = 4p + -8 Reorder the terms: -2 + -2p = -8 + 4p Solving -2 + -2p = -8 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -2 + -2p + -4p = -8 + 4p + -4p Combine like terms: -2p + -4p = -6p -2 + -6p = -8 + 4p + -4p Combine like terms: 4p + -4p = 0 -2 + -6p = -8 + 0 -2 + -6p = -8 Add '2' to each side of the equation. -2 + 2 + -6p = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -6p = -8 + 2 -6p = -8 + 2 Combine like terms: -8 + 2 = -6 -6p = -6 Divide each side by '-6'. p = 1 Simplifying p = 1
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