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Simplifying -5p + -2(2p + -5) = 9p + 10(5 + -2p) Reorder the terms: -5p + -2(-5 + 2p) = 9p + 10(5 + -2p) -5p + (-5 * -2 + 2p * -2) = 9p + 10(5 + -2p) -5p + (10 + -4p) = 9p + 10(5 + -2p) Reorder the terms: 10 + -5p + -4p = 9p + 10(5 + -2p) Combine like terms: -5p + -4p = -9p 10 + -9p = 9p + 10(5 + -2p) 10 + -9p = 9p + (5 * 10 + -2p * 10) 10 + -9p = 9p + (50 + -20p) Reorder the terms: 10 + -9p = 50 + 9p + -20p Combine like terms: 9p + -20p = -11p 10 + -9p = 50 + -11p Solving 10 + -9p = 50 + -11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11p' to each side of the equation. 10 + -9p + 11p = 50 + -11p + 11p Combine like terms: -9p + 11p = 2p 10 + 2p = 50 + -11p + 11p Combine like terms: -11p + 11p = 0 10 + 2p = 50 + 0 10 + 2p = 50 Add '-10' to each side of the equation. 10 + -10 + 2p = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 2p = 50 + -10 2p = 50 + -10 Combine like terms: 50 + -10 = 40 2p = 40 Divide each side by '2'. p = 20 Simplifying p = 20
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