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Simplifying 7 + 3p + -5 = 8p + 6 + -3p Reorder the terms: 7 + -5 + 3p = 8p + 6 + -3p Combine like terms: 7 + -5 = 2 2 + 3p = 8p + 6 + -3p Reorder the terms: 2 + 3p = 6 + 8p + -3p Combine like terms: 8p + -3p = 5p 2 + 3p = 6 + 5p Solving 2 + 3p = 6 + 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. 2 + 3p + -5p = 6 + 5p + -5p Combine like terms: 3p + -5p = -2p 2 + -2p = 6 + 5p + -5p Combine like terms: 5p + -5p = 0 2 + -2p = 6 + 0 2 + -2p = 6 Add '-2' to each side of the equation. 2 + -2 + -2p = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -2p = 6 + -2 -2p = 6 + -2 Combine like terms: 6 + -2 = 4 -2p = 4 Divide each side by '-2'. p = -2 Simplifying p = -2
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