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Simplifying -14p + 59 = -9(1 + -6p) Reorder the terms: 59 + -14p = -9(1 + -6p) 59 + -14p = (1 * -9 + -6p * -9) 59 + -14p = (-9 + 54p) Solving 59 + -14p = -9 + 54p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-54p' to each side of the equation. 59 + -14p + -54p = -9 + 54p + -54p Combine like terms: -14p + -54p = -68p 59 + -68p = -9 + 54p + -54p Combine like terms: 54p + -54p = 0 59 + -68p = -9 + 0 59 + -68p = -9 Add '-59' to each side of the equation. 59 + -59 + -68p = -9 + -59 Combine like terms: 59 + -59 = 0 0 + -68p = -9 + -59 -68p = -9 + -59 Combine like terms: -9 + -59 = -68 -68p = -68 Divide each side by '-68'. p = 1 Simplifying p = 1
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