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Simplifying -5(-1 + -4p) + 3 = 3p + 25 (-1 * -5 + -4p * -5) + 3 = 3p + 25 (5 + 20p) + 3 = 3p + 25 Reorder the terms: 5 + 3 + 20p = 3p + 25 Combine like terms: 5 + 3 = 8 8 + 20p = 3p + 25 Reorder the terms: 8 + 20p = 25 + 3p Solving 8 + 20p = 25 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 8 + 20p + -3p = 25 + 3p + -3p Combine like terms: 20p + -3p = 17p 8 + 17p = 25 + 3p + -3p Combine like terms: 3p + -3p = 0 8 + 17p = 25 + 0 8 + 17p = 25 Add '-8' to each side of the equation. 8 + -8 + 17p = 25 + -8 Combine like terms: 8 + -8 = 0 0 + 17p = 25 + -8 17p = 25 + -8 Combine like terms: 25 + -8 = 17 17p = 17 Divide each side by '17'. p = 1 Simplifying p = 1
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