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Simplifying 9p + -1(2p + 15) = 6 + -1(2p + -5) Reorder the terms: 9p + -1(15 + 2p) = 6 + -1(2p + -5) 9p + (15 * -1 + 2p * -1) = 6 + -1(2p + -5) 9p + (-15 + -2p) = 6 + -1(2p + -5) Reorder the terms: -15 + 9p + -2p = 6 + -1(2p + -5) Combine like terms: 9p + -2p = 7p -15 + 7p = 6 + -1(2p + -5) Reorder the terms: -15 + 7p = 6 + -1(-5 + 2p) -15 + 7p = 6 + (-5 * -1 + 2p * -1) -15 + 7p = 6 + (5 + -2p) Combine like terms: 6 + 5 = 11 -15 + 7p = 11 + -2p Solving -15 + 7p = 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. -15 + 7p + 2p = 11 + -2p + 2p Combine like terms: 7p + 2p = 9p -15 + 9p = 11 + -2p + 2p Combine like terms: -2p + 2p = 0 -15 + 9p = 11 + 0 -15 + 9p = 11 Add '15' to each side of the equation. -15 + 15 + 9p = 11 + 15 Combine like terms: -15 + 15 = 0 0 + 9p = 11 + 15 9p = 11 + 15 Combine like terms: 11 + 15 = 26 9p = 26 Divide each side by '9'. p = 2.888888889 Simplifying p = 2.888888889
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