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Simplifying 3p + -8 + 2p + -6 = 9p + 4 + -1p Reorder the terms: -8 + -6 + 3p + 2p = 9p + 4 + -1p Combine like terms: -8 + -6 = -14 -14 + 3p + 2p = 9p + 4 + -1p Combine like terms: 3p + 2p = 5p -14 + 5p = 9p + 4 + -1p Reorder the terms: -14 + 5p = 4 + 9p + -1p Combine like terms: 9p + -1p = 8p -14 + 5p = 4 + 8p Solving -14 + 5p = 4 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -14 + 5p + -8p = 4 + 8p + -8p Combine like terms: 5p + -8p = -3p -14 + -3p = 4 + 8p + -8p Combine like terms: 8p + -8p = 0 -14 + -3p = 4 + 0 -14 + -3p = 4 Add '14' to each side of the equation. -14 + 14 + -3p = 4 + 14 Combine like terms: -14 + 14 = 0 0 + -3p = 4 + 14 -3p = 4 + 14 Combine like terms: 4 + 14 = 18 -3p = 18 Divide each side by '-3'. p = -6 Simplifying p = -6
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