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