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Simplifying -171 = -3(1 + -8p) -171 = (1 * -3 + -8p * -3) -171 = (-3 + 24p) Solving -171 = -3 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. -171 + -24p = -3 + 24p + -24p Combine like terms: 24p + -24p = 0 -171 + -24p = -3 + 0 -171 + -24p = -3 Add '171' to each side of the equation. -171 + 171 + -24p = -3 + 171 Combine like terms: -171 + 171 = 0 0 + -24p = -3 + 171 -24p = -3 + 171 Combine like terms: -3 + 171 = 168 -24p = 168 Divide each side by '-24'. p = -7 Simplifying p = -7
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