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Simplifying -3(-5 + -5p) + 5p = 39 + -4p (-5 * -3 + -5p * -3) + 5p = 39 + -4p (15 + 15p) + 5p = 39 + -4p Combine like terms: 15p + 5p = 20p 15 + 20p = 39 + -4p Solving 15 + 20p = 39 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 15 + 20p + 4p = 39 + -4p + 4p Combine like terms: 20p + 4p = 24p 15 + 24p = 39 + -4p + 4p Combine like terms: -4p + 4p = 0 15 + 24p = 39 + 0 15 + 24p = 39 Add '-15' to each side of the equation. 15 + -15 + 24p = 39 + -15 Combine like terms: 15 + -15 = 0 0 + 24p = 39 + -15 24p = 39 + -15 Combine like terms: 39 + -15 = 24 24p = 24 Divide each side by '24'. p = 1 Simplifying p = 1
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