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Simplifying 5p + -9 = 6 + -2(p + -1) Reorder the terms: -9 + 5p = 6 + -2(p + -1) Reorder the terms: -9 + 5p = 6 + -2(-1 + p) -9 + 5p = 6 + (-1 * -2 + p * -2) -9 + 5p = 6 + (2 + -2p) Combine like terms: 6 + 2 = 8 -9 + 5p = 8 + -2p Solving -9 + 5p = 8 + -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. -9 + 5p + 2p = 8 + -2p + 2p Combine like terms: 5p + 2p = 7p -9 + 7p = 8 + -2p + 2p Combine like terms: -2p + 2p = 0 -9 + 7p = 8 + 0 -9 + 7p = 8 Add '9' to each side of the equation. -9 + 9 + 7p = 8 + 9 Combine like terms: -9 + 9 = 0 0 + 7p = 8 + 9 7p = 8 + 9 Combine like terms: 8 + 9 = 17 7p = 17 Divide each side by '7'. p = 2.428571429 Simplifying p = 2.428571429
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