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Simplifying 7(3 + 2p) + -5 = -82 + -7 (3 * 7 + 2p * 7) + -5 = -82 + -7 (21 + 14p) + -5 = -82 + -7 Reorder the terms: 21 + -5 + 14p = -82 + -7 Combine like terms: 21 + -5 = 16 16 + 14p = -82 + -7 Combine like terms: -82 + -7 = -89 16 + 14p = -89 Solving 16 + 14p = -89 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 14p = -89 + -16 Combine like terms: 16 + -16 = 0 0 + 14p = -89 + -16 14p = -89 + -16 Combine like terms: -89 + -16 = -105 14p = -105 Divide each side by '14'. p = -7.5 Simplifying p = -7.5
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