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Simplifying -4(p + 1) = 2(8 + 2p) Reorder the terms: -4(1 + p) = 2(8 + 2p) (1 * -4 + p * -4) = 2(8 + 2p) (-4 + -4p) = 2(8 + 2p) -4 + -4p = (8 * 2 + 2p * 2) -4 + -4p = (16 + 4p) Solving -4 + -4p = 16 + 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. -4 + -4p + -4p = 16 + 4p + -4p Combine like terms: -4p + -4p = -8p -4 + -8p = 16 + 4p + -4p Combine like terms: 4p + -4p = 0 -4 + -8p = 16 + 0 -4 + -8p = 16 Add '4' to each side of the equation. -4 + 4 + -8p = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -8p = 16 + 4 -8p = 16 + 4 Combine like terms: 16 + 4 = 20 -8p = 20 Divide each side by '-8'. p = -2.5 Simplifying p = -2.5
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