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Simplifying 5(2 + 5p) + -1 = -39 + p (2 * 5 + 5p * 5) + -1 = -39 + p (10 + 25p) + -1 = -39 + p Reorder the terms: 10 + -1 + 25p = -39 + p Combine like terms: 10 + -1 = 9 9 + 25p = -39 + p Solving 9 + 25p = -39 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 9 + 25p + -1p = -39 + p + -1p Combine like terms: 25p + -1p = 24p 9 + 24p = -39 + p + -1p Combine like terms: p + -1p = 0 9 + 24p = -39 + 0 9 + 24p = -39 Add '-9' to each side of the equation. 9 + -9 + 24p = -39 + -9 Combine like terms: 9 + -9 = 0 0 + 24p = -39 + -9 24p = -39 + -9 Combine like terms: -39 + -9 = -48 24p = -48 Divide each side by '24'. p = -2 Simplifying p = -2
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