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Simplifying 6 + 3p + -1(2p + 1) + -1(2p + 9) = 0 Reorder the terms: 6 + 3p + -1(1 + 2p) + -1(2p + 9) = 0 6 + 3p + (1 * -1 + 2p * -1) + -1(2p + 9) = 0 6 + 3p + (-1 + -2p) + -1(2p + 9) = 0 Reorder the terms: 6 + 3p + -1 + -2p + -1(9 + 2p) = 0 6 + 3p + -1 + -2p + (9 * -1 + 2p * -1) = 0 6 + 3p + -1 + -2p + (-9 + -2p) = 0 Reorder the terms: 6 + -1 + -9 + 3p + -2p + -2p = 0 Combine like terms: 6 + -1 = 5 5 + -9 + 3p + -2p + -2p = 0 Combine like terms: 5 + -9 = -4 -4 + 3p + -2p + -2p = 0 Combine like terms: 3p + -2p = 1p -4 + 1p + -2p = 0 Combine like terms: 1p + -2p = -1p -4 + -1p = 0 Solving -4 + -1p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1p = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1p = 0 + 4 -1p = 0 + 4 Combine like terms: 0 + 4 = 4 -1p = 4 Divide each side by '-1'. p = -4 Simplifying p = -4
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