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