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Simplifying 9(2p + 1) + -3p = 4p + -6 Reorder the terms: 9(1 + 2p) + -3p = 4p + -6 (1 * 9 + 2p * 9) + -3p = 4p + -6 (9 + 18p) + -3p = 4p + -6 Combine like terms: 18p + -3p = 15p 9 + 15p = 4p + -6 Reorder the terms: 9 + 15p = -6 + 4p Solving 9 + 15p = -6 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. 9 + 15p + -4p = -6 + 4p + -4p Combine like terms: 15p + -4p = 11p 9 + 11p = -6 + 4p + -4p Combine like terms: 4p + -4p = 0 9 + 11p = -6 + 0 9 + 11p = -6 Add '-9' to each side of the equation. 9 + -9 + 11p = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 11p = -6 + -9 11p = -6 + -9 Combine like terms: -6 + -9 = -15 11p = -15 Divide each side by '11'. p = -1.363636364 Simplifying p = -1.363636364
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