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Simplifying -14 + 59 = -9(1 + -6p) Combine like terms: -14 + 59 = 45 45 = -9(1 + -6p) 45 = (1 * -9 + -6p * -9) 45 = (-9 + 54p) Solving 45 = -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. 45 + -54p = -9 + 54p + -54p Combine like terms: 54p + -54p = 0 45 + -54p = -9 + 0 45 + -54p = -9 Add '-45' to each side of the equation. 45 + -45 + -54p = -9 + -45 Combine like terms: 45 + -45 = 0 0 + -54p = -9 + -45 -54p = -9 + -45 Combine like terms: -9 + -45 = -54 -54p = -54 Divide each side by '-54'. p = 1 Simplifying p = 1
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