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Simplifying 2(1 + -1p) = 4(8 + -2p) (1 * 2 + -1p * 2) = 4(8 + -2p) (2 + -2p) = 4(8 + -2p) 2 + -2p = (8 * 4 + -2p * 4) 2 + -2p = (32 + -8p) Solving 2 + -2p = 32 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 2 + -2p + 8p = 32 + -8p + 8p Combine like terms: -2p + 8p = 6p 2 + 6p = 32 + -8p + 8p Combine like terms: -8p + 8p = 0 2 + 6p = 32 + 0 2 + 6p = 32 Add '-2' to each side of the equation. 2 + -2 + 6p = 32 + -2 Combine like terms: 2 + -2 = 0 0 + 6p = 32 + -2 6p = 32 + -2 Combine like terms: 32 + -2 = 30 6p = 30 Divide each side by '6'. p = 5 Simplifying p = 5
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