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Simplifying -8p + 39 = 5(1 + -5p) Reorder the terms: 39 + -8p = 5(1 + -5p) 39 + -8p = (1 * 5 + -5p * 5) 39 + -8p = (5 + -25p) Solving 39 + -8p = 5 + -25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '25p' to each side of the equation. 39 + -8p + 25p = 5 + -25p + 25p Combine like terms: -8p + 25p = 17p 39 + 17p = 5 + -25p + 25p Combine like terms: -25p + 25p = 0 39 + 17p = 5 + 0 39 + 17p = 5 Add '-39' to each side of the equation. 39 + -39 + 17p = 5 + -39 Combine like terms: 39 + -39 = 0 0 + 17p = 5 + -39 17p = 5 + -39 Combine like terms: 5 + -39 = -34 17p = -34 Divide each side by '17'. p = -2 Simplifying p = -2
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