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Simplifying 9 + -1(2p + 7) + 4p + 6 = 0 Reorder the terms: 9 + -1(7 + 2p) + 4p + 6 = 0 9 + (7 * -1 + 2p * -1) + 4p + 6 = 0 9 + (-7 + -2p) + 4p + 6 = 0 Reorder the terms: 9 + -7 + 6 + -2p + 4p = 0 Combine like terms: 9 + -7 = 2 2 + 6 + -2p + 4p = 0 Combine like terms: 2 + 6 = 8 8 + -2p + 4p = 0 Combine like terms: -2p + 4p = 2p 8 + 2p = 0 Solving 8 + 2p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2p = 0 + -8 2p = 0 + -8 Combine like terms: 0 + -8 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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