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Simplifying 4p + -5(1 + -5p) = -2p + -5 4p + (1 * -5 + -5p * -5) = -2p + -5 4p + (-5 + 25p) = -2p + -5 Reorder the terms: -5 + 4p + 25p = -2p + -5 Combine like terms: 4p + 25p = 29p -5 + 29p = -2p + -5 Reorder the terms: -5 + 29p = -5 + -2p Add '5' to each side of the equation. -5 + 5 + 29p = -5 + 5 + -2p Combine like terms: -5 + 5 = 0 0 + 29p = -5 + 5 + -2p 29p = -5 + 5 + -2p Combine like terms: -5 + 5 = 0 29p = 0 + -2p 29p = -2p Solving 29p = -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. 29p + 2p = -2p + 2p Combine like terms: 29p + 2p = 31p 31p = -2p + 2p Combine like terms: -2p + 2p = 0 31p = 0 Divide each side by '31'. p = 0 Simplifying p = 0
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