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Simplifying p + -2 + 3p = -9 + 1 + -2p + 7p Reorder the terms: -2 + p + 3p = -9 + 1 + -2p + 7p Combine like terms: p + 3p = 4p -2 + 4p = -9 + 1 + -2p + 7p Combine like terms: -9 + 1 = -8 -2 + 4p = -8 + -2p + 7p Combine like terms: -2p + 7p = 5p -2 + 4p = -8 + 5p Solving -2 + 4p = -8 + 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. -2 + 4p + -5p = -8 + 5p + -5p Combine like terms: 4p + -5p = -1p -2 + -1p = -8 + 5p + -5p Combine like terms: 5p + -5p = 0 -2 + -1p = -8 + 0 -2 + -1p = -8 Add '2' to each side of the equation. -2 + 2 + -1p = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -1p = -8 + 2 -1p = -8 + 2 Combine like terms: -8 + 2 = -6 -1p = -6 Divide each side by '-1'. p = 6 Simplifying p = 6
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