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Simplifying 4(p + 1) = 2(p + -1) Reorder the terms: 4(1 + p) = 2(p + -1) (1 * 4 + p * 4) = 2(p + -1) (4 + 4p) = 2(p + -1) Reorder the terms: 4 + 4p = 2(-1 + p) 4 + 4p = (-1 * 2 + p * 2) 4 + 4p = (-2 + 2p) Solving 4 + 4p = -2 + 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 = -2 + 2p + -2p Combine like terms: 4p + -2p = 2p 4 + 2p = -2 + 2p + -2p Combine like terms: 2p + -2p = 0 4 + 2p = -2 + 0 4 + 2p = -2 Add '-4' to each side of the equation. 4 + -4 + 2p = -2 + -4 Combine like terms: 4 + -4 = 0 0 + 2p = -2 + -4 2p = -2 + -4 Combine like terms: -2 + -4 = -6 2p = -6 Divide each side by '2'. p = -3 Simplifying p = -3
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