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Simplifying -423 = 8(3 + 7p) + 1 -423 = (3 * 8 + 7p * 8) + 1 -423 = (24 + 56p) + 1 Reorder the terms: -423 = 24 + 1 + 56p Combine like terms: 24 + 1 = 25 -423 = 25 + 56p Solving -423 = 25 + 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. -423 + -56p = 25 + 56p + -56p Combine like terms: 56p + -56p = 0 -423 + -56p = 25 + 0 -423 + -56p = 25 Add '423' to each side of the equation. -423 + 423 + -56p = 25 + 423 Combine like terms: -423 + 423 = 0 0 + -56p = 25 + 423 -56p = 25 + 423 Combine like terms: 25 + 423 = 448 -56p = 448 Divide each side by '-56'. p = -8 Simplifying p = -8
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