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Simplifying 5(8p + 5) + 4p = -17 + 2p Reorder the terms: 5(5 + 8p) + 4p = -17 + 2p (5 * 5 + 8p * 5) + 4p = -17 + 2p (25 + 40p) + 4p = -17 + 2p Combine like terms: 40p + 4p = 44p 25 + 44p = -17 + 2p Solving 25 + 44p = -17 + 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. 25 + 44p + -2p = -17 + 2p + -2p Combine like terms: 44p + -2p = 42p 25 + 42p = -17 + 2p + -2p Combine like terms: 2p + -2p = 0 25 + 42p = -17 + 0 25 + 42p = -17 Add '-25' to each side of the equation. 25 + -25 + 42p = -17 + -25 Combine like terms: 25 + -25 = 0 0 + 42p = -17 + -25 42p = -17 + -25 Combine like terms: -17 + -25 = -42 42p = -42 Divide each side by '42'. p = -1 Simplifying p = -1
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