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Simplifying 29 + -8p = -7(-8p + 5) Reorder the terms: 29 + -8p = -7(5 + -8p) 29 + -8p = (5 * -7 + -8p * -7) 29 + -8p = (-35 + 56p) Solving 29 + -8p = -35 + 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. 29 + -8p + -56p = -35 + 56p + -56p Combine like terms: -8p + -56p = -64p 29 + -64p = -35 + 56p + -56p Combine like terms: 56p + -56p = 0 29 + -64p = -35 + 0 29 + -64p = -35 Add '-29' to each side of the equation. 29 + -29 + -64p = -35 + -29 Combine like terms: 29 + -29 = 0 0 + -64p = -35 + -29 -64p = -35 + -29 Combine like terms: -35 + -29 = -64 -64p = -64 Divide each side by '-64'. p = 1 Simplifying p = 1
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