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Simplifying -8p + -5(5p + 7) = -4 + -2p Reorder the terms: -8p + -5(7 + 5p) = -4 + -2p -8p + (7 * -5 + 5p * -5) = -4 + -2p -8p + (-35 + -25p) = -4 + -2p Reorder the terms: -35 + -8p + -25p = -4 + -2p Combine like terms: -8p + -25p = -33p -35 + -33p = -4 + -2p Solving -35 + -33p = -4 + -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. -35 + -33p + 2p = -4 + -2p + 2p Combine like terms: -33p + 2p = -31p -35 + -31p = -4 + -2p + 2p Combine like terms: -2p + 2p = 0 -35 + -31p = -4 + 0 -35 + -31p = -4 Add '35' to each side of the equation. -35 + 35 + -31p = -4 + 35 Combine like terms: -35 + 35 = 0 0 + -31p = -4 + 35 -31p = -4 + 35 Combine like terms: -4 + 35 = 31 -31p = 31 Divide each side by '-31'. p = -1 Simplifying p = -1
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