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Simplifying 5p + -1[5 + -3(p + 24 + -6) + -20] + -5 = 88 Reorder the terms: 5p + -1[5 + -3(24 + -6 + p) + -20] + -5 = 88 Combine like terms: 24 + -6 = 18 5p + -1[5 + -3(18 + p) + -20] + -5 = 88 5p + -1[5 + (18 * -3 + p * -3) + -20] + -5 = 88 5p + -1[5 + (-54 + -3p) + -20] + -5 = 88 Reorder the terms: 5p + -1[5 + -54 + -20 + -3p] + -5 = 88 Combine like terms: 5 + -54 = -49 5p + -1[-49 + -20 + -3p] + -5 = 88 Combine like terms: -49 + -20 = -69 5p + -1[-69 + -3p] + -5 = 88 5p + [-69 * -1 + -3p * -1] + -5 = 88 5p + [69 + 3p] + -5 = 88 Reorder the terms: 69 + -5 + 5p + 3p = 88 Combine like terms: 69 + -5 = 64 64 + 5p + 3p = 88 Combine like terms: 5p + 3p = 8p 64 + 8p = 88 Solving 64 + 8p = 88 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + -64 + 8p = 88 + -64 Combine like terms: 64 + -64 = 0 0 + 8p = 88 + -64 8p = 88 + -64 Combine like terms: 88 + -64 = 24 8p = 24 Divide each side by '8'. p = 3 Simplifying p = 3
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