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Simplifying 7 + 2p + -4 = -8 + p + 8 + 1 Reorder the terms: 7 + -4 + 2p = -8 + p + 8 + 1 Combine like terms: 7 + -4 = 3 3 + 2p = -8 + p + 8 + 1 Reorder the terms: 3 + 2p = -8 + 8 + 1 + p Combine like terms: -8 + 8 = 0 3 + 2p = 0 + 1 + p 3 + 2p = 1 + p Solving 3 + 2p = 1 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 3 + 2p + -1p = 1 + p + -1p Combine like terms: 2p + -1p = 1p 3 + 1p = 1 + p + -1p Combine like terms: p + -1p = 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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