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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 = -12 -8p = -12 Divide each side by '-8'. p = 1.5 Simplifying p = 1.5
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