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Simplifying 12p + 2(1 + -1p) = 6p + 8(1 + -1p) 12p + (1 * 2 + -1p * 2) = 6p + 8(1 + -1p) 12p + (2 + -2p) = 6p + 8(1 + -1p) Reorder the terms: 2 + 12p + -2p = 6p + 8(1 + -1p) Combine like terms: 12p + -2p = 10p 2 + 10p = 6p + 8(1 + -1p) 2 + 10p = 6p + (1 * 8 + -1p * 8) 2 + 10p = 6p + (8 + -8p) Reorder the terms: 2 + 10p = 8 + 6p + -8p Combine like terms: 6p + -8p = -2p 2 + 10p = 8 + -2p Solving 2 + 10p = 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. 2 + 10p + 2p = 8 + -2p + 2p Combine like terms: 10p + 2p = 12p 2 + 12p = 8 + -2p + 2p Combine like terms: -2p + 2p = 0 2 + 12p = 8 + 0 2 + 12p = 8 Add '-2' to each side of the equation. 2 + -2 + 12p = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 12p = 8 + -2 12p = 8 + -2 Combine like terms: 8 + -2 = 6 12p = 6 Divide each side by '12'. p = 0.5 Simplifying p = 0.5
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