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Simplifying 5(1 + -1p) = 3(2p + 9) (1 * 5 + -1p * 5) = 3(2p + 9) (5 + -5p) = 3(2p + 9) Reorder the terms: 5 + -5p = 3(9 + 2p) 5 + -5p = (9 * 3 + 2p * 3) 5 + -5p = (27 + 6p) Solving 5 + -5p = 27 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. 5 + -5p + -6p = 27 + 6p + -6p Combine like terms: -5p + -6p = -11p 5 + -11p = 27 + 6p + -6p Combine like terms: 6p + -6p = 0 5 + -11p = 27 + 0 5 + -11p = 27 Add '-5' to each side of the equation. 5 + -5 + -11p = 27 + -5 Combine like terms: 5 + -5 = 0 0 + -11p = 27 + -5 -11p = 27 + -5 Combine like terms: 27 + -5 = 22 -11p = 22 Divide each side by '-11'. p = -2 Simplifying p = -2
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