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Simplifying -5(-1p + -6) = 24 + 8p Reorder the terms: -5(-6 + -1p) = 24 + 8p (-6 * -5 + -1p * -5) = 24 + 8p (30 + 5p) = 24 + 8p Solving 30 + 5p = 24 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. 30 + 5p + -8p = 24 + 8p + -8p Combine like terms: 5p + -8p = -3p 30 + -3p = 24 + 8p + -8p Combine like terms: 8p + -8p = 0 30 + -3p = 24 + 0 30 + -3p = 24 Add '-30' to each side of the equation. 30 + -30 + -3p = 24 + -30 Combine like terms: 30 + -30 = 0 0 + -3p = 24 + -30 -3p = 24 + -30 Combine like terms: 24 + -30 = -6 -3p = -6 Divide each side by '-3'. p = 2 Simplifying p = 2
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