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Simplifying (2p + -1) * 2x = 2x2 + -1 Reorder the terms: (-1 + 2p) * 2x = 2x2 + -1 Reorder the terms for easier multiplication: 2x(-1 + 2p) = 2x2 + -1 (-1 * 2x + 2p * 2x) = 2x2 + -1 Reorder the terms: (4px + -2x) = 2x2 + -1 (4px + -2x) = 2x2 + -1 Reorder the terms: 4px + -2x = -1 + 2x2 Solving 4px + -2x = -1 + 2x2 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2x' to each side of the equation. 4px + -2x + 2x = -1 + 2x + 2x2 Combine like terms: -2x + 2x = 0 4px + 0 = -1 + 2x + 2x2 4px = -1 + 2x + 2x2 Divide each side by '4x'. p = -0.25x-1 + 0.5 + 0.5x Simplifying p = -0.25x-1 + 0.5 + 0.5x Reorder the terms: p = 0.5 + -0.25x-1 + 0.5x
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