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Simplifying -5p + 24 = 7(5p + -8) Reorder the terms: 24 + -5p = 7(5p + -8) Reorder the terms: 24 + -5p = 7(-8 + 5p) 24 + -5p = (-8 * 7 + 5p * 7) 24 + -5p = (-56 + 35p) Solving 24 + -5p = -56 + 35p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35p' to each side of the equation. 24 + -5p + -35p = -56 + 35p + -35p Combine like terms: -5p + -35p = -40p 24 + -40p = -56 + 35p + -35p Combine like terms: 35p + -35p = 0 24 + -40p = -56 + 0 24 + -40p = -56 Add '-24' to each side of the equation. 24 + -24 + -40p = -56 + -24 Combine like terms: 24 + -24 = 0 0 + -40p = -56 + -24 -40p = -56 + -24 Combine like terms: -56 + -24 = -80 -40p = -80 Divide each side by '-40'. p = 2 Simplifying p = 2
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