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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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