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Simplifying 3(1 + -8p) = -35 + -5p (1 * 3 + -8p * 3) = -35 + -5p (3 + -24p) = -35 + -5p Solving 3 + -24p = -35 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. 3 + -24p + 5p = -35 + -5p + 5p Combine like terms: -24p + 5p = -19p 3 + -19p = -35 + -5p + 5p Combine like terms: -5p + 5p = 0 3 + -19p = -35 + 0 3 + -19p = -35 Add '-3' to each side of the equation. 3 + -3 + -19p = -35 + -3 Combine like terms: 3 + -3 = 0 0 + -19p = -35 + -3 -19p = -35 + -3 Combine like terms: -35 + -3 = -38 -19p = -38 Divide each side by '-19'. p = 2 Simplifying p = 2
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