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Simplifying 2p + -3[4p + -1(8p + 1)] = 0 Reorder the terms: 2p + -3[4p + -1(1 + 8p)] = 0 2p + -3[4p + (1 * -1 + 8p * -1)] = 0 2p + -3[4p + (-1 + -8p)] = 0 Reorder the terms: 2p + -3[-1 + 4p + -8p] = 0 Combine like terms: 4p + -8p = -4p 2p + -3[-1 + -4p] = 0 2p + [-1 * -3 + -4p * -3] = 0 2p + [3 + 12p] = 0 Reorder the terms: 3 + 2p + 12p = 0 Combine like terms: 2p + 12p = 14p 3 + 14p = 0 Solving 3 + 14p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 14p = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 14p = 0 + -3 14p = 0 + -3 Combine like terms: 0 + -3 = -3 14p = -3 Divide each side by '14'. p = -0.2142857143 Simplifying p = -0.2142857143
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