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Simplifying -5(2p + -1) + 17 = 4(5 + -2p) Reorder the terms: -5(-1 + 2p) + 17 = 4(5 + -2p) (-1 * -5 + 2p * -5) + 17 = 4(5 + -2p) (5 + -10p) + 17 = 4(5 + -2p) Reorder the terms: 5 + 17 + -10p = 4(5 + -2p) Combine like terms: 5 + 17 = 22 22 + -10p = 4(5 + -2p) 22 + -10p = (5 * 4 + -2p * 4) 22 + -10p = (20 + -8p) Solving 22 + -10p = 20 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 22 + -10p + 8p = 20 + -8p + 8p Combine like terms: -10p + 8p = -2p 22 + -2p = 20 + -8p + 8p Combine like terms: -8p + 8p = 0 22 + -2p = 20 + 0 22 + -2p = 20 Add '-22' to each side of the equation. 22 + -22 + -2p = 20 + -22 Combine like terms: 22 + -22 = 0 0 + -2p = 20 + -22 -2p = 20 + -22 Combine like terms: 20 + -22 = -2 -2p = -2 Divide each side by '-2'. p = 1 Simplifying p = 1
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