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Simplifying 5p + -1[8 + -4(9p + -2)] = 0 Reorder the terms: 5p + -1[8 + -4(-2 + 9p)] = 0 5p + -1[8 + (-2 * -4 + 9p * -4)] = 0 5p + -1[8 + (8 + -36p)] = 0 Combine like terms: 8 + 8 = 16 5p + -1[16 + -36p] = 0 5p + [16 * -1 + -36p * -1] = 0 5p + [-16 + 36p] = 0 Reorder the terms: -16 + 5p + 36p = 0 Combine like terms: 5p + 36p = 41p -16 + 41p = 0 Solving -16 + 41p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 41p = 0 + 16 Combine like terms: -16 + 16 = 0 0 + 41p = 0 + 16 41p = 0 + 16 Combine like terms: 0 + 16 = 16 41p = 16 Divide each side by '41'. p = 0.3902439024 Simplifying p = 0.3902439024
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