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Simplifying 5(4p + 7) = 9p + 2 Reorder the terms: 5(7 + 4p) = 9p + 2 (7 * 5 + 4p * 5) = 9p + 2 (35 + 20p) = 9p + 2 Reorder the terms: 35 + 20p = 2 + 9p Solving 35 + 20p = 2 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 35 + 20p + -9p = 2 + 9p + -9p Combine like terms: 20p + -9p = 11p 35 + 11p = 2 + 9p + -9p Combine like terms: 9p + -9p = 0 35 + 11p = 2 + 0 35 + 11p = 2 Add '-35' to each side of the equation. 35 + -35 + 11p = 2 + -35 Combine like terms: 35 + -35 = 0 0 + 11p = 2 + -35 11p = 2 + -35 Combine like terms: 2 + -35 = -33 11p = -33 Divide each side by '11'. p = -3 Simplifying p = -3
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