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Simplifying 9p + -1(4p + 16) = 9 + -1(2p + -2) Reorder the terms: 9p + -1(16 + 4p) = 9 + -1(2p + -2) 9p + (16 * -1 + 4p * -1) = 9 + -1(2p + -2) 9p + (-16 + -4p) = 9 + -1(2p + -2) Reorder the terms: -16 + 9p + -4p = 9 + -1(2p + -2) Combine like terms: 9p + -4p = 5p -16 + 5p = 9 + -1(2p + -2) Reorder the terms: -16 + 5p = 9 + -1(-2 + 2p) -16 + 5p = 9 + (-2 * -1 + 2p * -1) -16 + 5p = 9 + (2 + -2p) Combine like terms: 9 + 2 = 11 -16 + 5p = 11 + -2p Solving -16 + 5p = 11 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. -16 + 5p + 2p = 11 + -2p + 2p Combine like terms: 5p + 2p = 7p -16 + 7p = 11 + -2p + 2p Combine like terms: -2p + 2p = 0 -16 + 7p = 11 + 0 -16 + 7p = 11 Add '16' to each side of the equation. -16 + 16 + 7p = 11 + 16 Combine like terms: -16 + 16 = 0 0 + 7p = 11 + 16 7p = 11 + 16 Combine like terms: 11 + 16 = 27 7p = 27 Divide each side by '7'. p = 3.857142857 Simplifying p = 3.857142857
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