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Simplifying -9p + 2(8 + -1p) = 4p + -14 -9p + (8 * 2 + -1p * 2) = 4p + -14 -9p + (16 + -2p) = 4p + -14 Reorder the terms: 16 + -9p + -2p = 4p + -14 Combine like terms: -9p + -2p = -11p 16 + -11p = 4p + -14 Reorder the terms: 16 + -11p = -14 + 4p Solving 16 + -11p = -14 + 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. 16 + -11p + -4p = -14 + 4p + -4p Combine like terms: -11p + -4p = -15p 16 + -15p = -14 + 4p + -4p Combine like terms: 4p + -4p = 0 16 + -15p = -14 + 0 16 + -15p = -14 Add '-16' to each side of the equation. 16 + -16 + -15p = -14 + -16 Combine like terms: 16 + -16 = 0 0 + -15p = -14 + -16 -15p = -14 + -16 Combine like terms: -14 + -16 = -30 -15p = -30 Divide each side by '-15'. p = 2 Simplifying p = 2
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