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