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Simplifying -383 = 1 + 8(-8p + 8) Reorder the terms: -383 = 1 + 8(8 + -8p) -383 = 1 + (8 * 8 + -8p * 8) -383 = 1 + (64 + -64p) Combine like terms: 1 + 64 = 65 -383 = 65 + -64p Solving -383 = 65 + -64p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '64p' to each side of the equation. -383 + 64p = 65 + -64p + 64p Combine like terms: -64p + 64p = 0 -383 + 64p = 65 + 0 -383 + 64p = 65 Add '383' to each side of the equation. -383 + 383 + 64p = 65 + 383 Combine like terms: -383 + 383 = 0 0 + 64p = 65 + 383 64p = 65 + 383 Combine like terms: 65 + 383 = 448 64p = 448 Divide each side by '64'. p = 7 Simplifying p = 7
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