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Simplifying -2p + 8 = 1 + -3p Reorder the terms: 8 + -2p = 1 + -3p Solving 8 + -2p = 1 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 8 + -2p + 3p = 1 + -3p + 3p Combine like terms: -2p + 3p = 1p 8 + 1p = 1 + -3p + 3p Combine like terms: -3p + 3p = 0 8 + 1p = 1 + 0 8 + 1p = 1 Add '-8' to each side of the equation. 8 + -8 + 1p = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 1p = 1 + -8 1p = 1 + -8 Combine like terms: 1 + -8 = -7 1p = -7 Divide each side by '1'. p = -7 Simplifying p = -7
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