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Simplifying -3(-8p + -7) + 3(1 + p) = -3 Reorder the terms: -3(-7 + -8p) + 3(1 + p) = -3 (-7 * -3 + -8p * -3) + 3(1 + p) = -3 (21 + 24p) + 3(1 + p) = -3 21 + 24p + (1 * 3 + p * 3) = -3 21 + 24p + (3 + 3p) = -3 Reorder the terms: 21 + 3 + 24p + 3p = -3 Combine like terms: 21 + 3 = 24 24 + 24p + 3p = -3 Combine like terms: 24p + 3p = 27p 24 + 27p = -3 Solving 24 + 27p = -3 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 27p = -3 + -24 Combine like terms: 24 + -24 = 0 0 + 27p = -3 + -24 27p = -3 + -24 Combine like terms: -3 + -24 = -27 27p = -27 Divide each side by '27'. p = -1 Simplifying p = -1
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