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Simplifying -1(15p + -1) + 24 + 2(5 + 5p) = 0 Reorder the terms: -1(-1 + 15p) + 24 + 2(5 + 5p) = 0 (-1 * -1 + 15p * -1) + 24 + 2(5 + 5p) = 0 (1 + -15p) + 24 + 2(5 + 5p) = 0 1 + -15p + 24 + (5 * 2 + 5p * 2) = 0 1 + -15p + 24 + (10 + 10p) = 0 Reorder the terms: 1 + 24 + 10 + -15p + 10p = 0 Combine like terms: 1 + 24 = 25 25 + 10 + -15p + 10p = 0 Combine like terms: 25 + 10 = 35 35 + -15p + 10p = 0 Combine like terms: -15p + 10p = -5p 35 + -5p = 0 Solving 35 + -5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + -5p = 0 + -35 Combine like terms: 35 + -35 = 0 0 + -5p = 0 + -35 -5p = 0 + -35 Combine like terms: 0 + -35 = -35 -5p = -35 Divide each side by '-5'. p = 7 Simplifying p = 7
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