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Simplifying -8p + 9 = -4(5p + 4) + (-3 + 5p) Reorder the terms: 9 + -8p = -4(5p + 4) + (-3 + 5p) Reorder the terms: 9 + -8p = -4(4 + 5p) + (-3 + 5p) 9 + -8p = (4 * -4 + 5p * -4) + (-3 + 5p) 9 + -8p = (-16 + -20p) + (-3 + 5p) Remove parenthesis around (-3 + 5p) 9 + -8p = -16 + -20p + -3 + 5p Reorder the terms: 9 + -8p = -16 + -3 + -20p + 5p Combine like terms: -16 + -3 = -19 9 + -8p = -19 + -20p + 5p Combine like terms: -20p + 5p = -15p 9 + -8p = -19 + -15p Solving 9 + -8p = -19 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 9 + -8p + 15p = -19 + -15p + 15p Combine like terms: -8p + 15p = 7p 9 + 7p = -19 + -15p + 15p Combine like terms: -15p + 15p = 0 9 + 7p = -19 + 0 9 + 7p = -19 Add '-9' to each side of the equation. 9 + -9 + 7p = -19 + -9 Combine like terms: 9 + -9 = 0 0 + 7p = -19 + -9 7p = -19 + -9 Combine like terms: -19 + -9 = -28 7p = -28 Divide each side by '7'. p = -4 Simplifying p = -4
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