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Simplifying 9(5p + 1) = 4(p + -8) Reorder the terms: 9(1 + 5p) = 4(p + -8) (1 * 9 + 5p * 9) = 4(p + -8) (9 + 45p) = 4(p + -8) Reorder the terms: 9 + 45p = 4(-8 + p) 9 + 45p = (-8 * 4 + p * 4) 9 + 45p = (-32 + 4p) Solving 9 + 45p = -32 + 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. 9 + 45p + -4p = -32 + 4p + -4p Combine like terms: 45p + -4p = 41p 9 + 41p = -32 + 4p + -4p Combine like terms: 4p + -4p = 0 9 + 41p = -32 + 0 9 + 41p = -32 Add '-9' to each side of the equation. 9 + -9 + 41p = -32 + -9 Combine like terms: 9 + -9 = 0 0 + 41p = -32 + -9 41p = -32 + -9 Combine like terms: -32 + -9 = -41 41p = -41 Divide each side by '41'. p = -1 Simplifying p = -1
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