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Simplifying -4(p + 1) = (8 + -2p) Reorder the terms: -4(1 + p) = (8 + -2p) (1 * -4 + p * -4) = (8 + -2p) (-4 + -4p) = (8 + -2p) Remove parenthesis around (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 = 12 -2p = 12 Divide each side by '-2'. p = -6 Simplifying p = -6
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