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Simplifying 8p + 3(1 + 2p) = -81 8p + (1 * 3 + 2p * 3) = -81 8p + (3 + 6p) = -81 Reorder the terms: 3 + 8p + 6p = -81 Combine like terms: 8p + 6p = 14p 3 + 14p = -81 Solving 3 + 14p = -81 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 14p = -81 + -3 Combine like terms: 3 + -3 = 0 0 + 14p = -81 + -3 14p = -81 + -3 Combine like terms: -81 + -3 = -84 14p = -84 Divide each side by '14'. p = -6 Simplifying p = -6
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