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Simplifying -9 + 5(p + 20) = 8 + -4(8p + 17) Reorder the terms: -9 + 5(20 + p) = 8 + -4(8p + 17) -9 + (20 * 5 + p * 5) = 8 + -4(8p + 17) -9 + (100 + 5p) = 8 + -4(8p + 17) Combine like terms: -9 + 100 = 91 91 + 5p = 8 + -4(8p + 17) Reorder the terms: 91 + 5p = 8 + -4(17 + 8p) 91 + 5p = 8 + (17 * -4 + 8p * -4) 91 + 5p = 8 + (-68 + -32p) Combine like terms: 8 + -68 = -60 91 + 5p = -60 + -32p Solving 91 + 5p = -60 + -32p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '32p' to each side of the equation. 91 + 5p + 32p = -60 + -32p + 32p Combine like terms: 5p + 32p = 37p 91 + 37p = -60 + -32p + 32p Combine like terms: -32p + 32p = 0 91 + 37p = -60 + 0 91 + 37p = -60 Add '-91' to each side of the equation. 91 + -91 + 37p = -60 + -91 Combine like terms: 91 + -91 = 0 0 + 37p = -60 + -91 37p = -60 + -91 Combine like terms: -60 + -91 = -151 37p = -151 Divide each side by '37'. p = -4.081081081 Simplifying p = -4.081081081
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