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Simplifying (8p + 7) * 2 = 7(8p + 7) + -6 Reorder the terms: (7 + 8p) * 2 = 7(8p + 7) + -6 Reorder the terms for easier multiplication: 2(7 + 8p) = 7(8p + 7) + -6 (7 * 2 + 8p * 2) = 7(8p + 7) + -6 (14 + 16p) = 7(8p + 7) + -6 Reorder the terms: 14 + 16p = 7(7 + 8p) + -6 14 + 16p = (7 * 7 + 8p * 7) + -6 14 + 16p = (49 + 56p) + -6 Reorder the terms: 14 + 16p = 49 + -6 + 56p Combine like terms: 49 + -6 = 43 14 + 16p = 43 + 56p Solving 14 + 16p = 43 + 56p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-56p' to each side of the equation. 14 + 16p + -56p = 43 + 56p + -56p Combine like terms: 16p + -56p = -40p 14 + -40p = 43 + 56p + -56p Combine like terms: 56p + -56p = 0 14 + -40p = 43 + 0 14 + -40p = 43 Add '-14' to each side of the equation. 14 + -14 + -40p = 43 + -14 Combine like terms: 14 + -14 = 0 0 + -40p = 43 + -14 -40p = 43 + -14 Combine like terms: 43 + -14 = 29 -40p = 29 Divide each side by '-40'. p = -0.725 Simplifying p = -0.725
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