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Simplifying -87 = p + 5(3 + -7p) -87 = p + (3 * 5 + -7p * 5) -87 = p + (15 + -35p) Reorder the terms: -87 = 15 + p + -35p Combine like terms: p + -35p = -34p -87 = 15 + -34p Solving -87 = 15 + -34p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '34p' to each side of the equation. -87 + 34p = 15 + -34p + 34p Combine like terms: -34p + 34p = 0 -87 + 34p = 15 + 0 -87 + 34p = 15 Add '87' to each side of the equation. -87 + 87 + 34p = 15 + 87 Combine like terms: -87 + 87 = 0 0 + 34p = 15 + 87 34p = 15 + 87 Combine like terms: 15 + 87 = 102 34p = 102 Divide each side by '34'. p = 3 Simplifying p = 3
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