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Simplifying 7p + -1(5p + 9) = 2 + -1(5p + -8) Reorder the terms: 7p + -1(9 + 5p) = 2 + -1(5p + -8) 7p + (9 * -1 + 5p * -1) = 2 + -1(5p + -8) 7p + (-9 + -5p) = 2 + -1(5p + -8) Reorder the terms: -9 + 7p + -5p = 2 + -1(5p + -8) Combine like terms: 7p + -5p = 2p -9 + 2p = 2 + -1(5p + -8) Reorder the terms: -9 + 2p = 2 + -1(-8 + 5p) -9 + 2p = 2 + (-8 * -1 + 5p * -1) -9 + 2p = 2 + (8 + -5p) Combine like terms: 2 + 8 = 10 -9 + 2p = 10 + -5p Solving -9 + 2p = 10 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -9 + 2p + 5p = 10 + -5p + 5p Combine like terms: 2p + 5p = 7p -9 + 7p = 10 + -5p + 5p Combine like terms: -5p + 5p = 0 -9 + 7p = 10 + 0 -9 + 7p = 10 Add '9' to each side of the equation. -9 + 9 + 7p = 10 + 9 Combine like terms: -9 + 9 = 0 0 + 7p = 10 + 9 7p = 10 + 9 Combine like terms: 10 + 9 = 19 7p = 19 Divide each side by '7'. p = 2.714285714 Simplifying p = 2.714285714
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