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Simplifying -561 = 7(8p + -7) + 8p Reorder the terms: -561 = 7(-7 + 8p) + 8p -561 = (-7 * 7 + 8p * 7) + 8p -561 = (-49 + 56p) + 8p Combine like terms: 56p + 8p = 64p -561 = -49 + 64p Solving -561 = -49 + 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. -561 + -64p = -49 + 64p + -64p Combine like terms: 64p + -64p = 0 -561 + -64p = -49 + 0 -561 + -64p = -49 Add '561' to each side of the equation. -561 + 561 + -64p = -49 + 561 Combine like terms: -561 + 561 = 0 0 + -64p = -49 + 561 -64p = -49 + 561 Combine like terms: -49 + 561 = 512 -64p = 512 Divide each side by '-64'. p = -8 Simplifying p = -8
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