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Simplifying 3(1 + -8p) = 3p + 24 (1 * 3 + -8p * 3) = 3p + 24 (3 + -24p) = 3p + 24 Reorder the terms: 3 + -24p = 24 + 3p Solving 3 + -24p = 24 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 3 + -24p + -3p = 24 + 3p + -3p Combine like terms: -24p + -3p = -27p 3 + -27p = 24 + 3p + -3p Combine like terms: 3p + -3p = 0 3 + -27p = 24 + 0 3 + -27p = 24 Add '-3' to each side of the equation. 3 + -3 + -27p = 24 + -3 Combine like terms: 3 + -3 = 0 0 + -27p = 24 + -3 -27p = 24 + -3 Combine like terms: 24 + -3 = 21 -27p = 21 Divide each side by '-27'. p = -0.7777777778 Simplifying p = -0.7777777778
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