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Simplifying 14p + 5[6 + -1(2p + 3)] = 0 Reorder the terms: 14p + 5[6 + -1(3 + 2p)] = 0 14p + 5[6 + (3 * -1 + 2p * -1)] = 0 14p + 5[6 + (-3 + -2p)] = 0 Combine like terms: 6 + -3 = 3 14p + 5[3 + -2p] = 0 14p + [3 * 5 + -2p * 5] = 0 14p + [15 + -10p] = 0 Reorder the terms: 15 + 14p + -10p = 0 Combine like terms: 14p + -10p = 4p 15 + 4p = 0 Solving 15 + 4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 4p = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4p = 0 + -15 4p = 0 + -15 Combine like terms: 0 + -15 = -15 4p = -15 Divide each side by '4'. p = -3.75 Simplifying p = -3.75
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