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Simplifying p + -8 = 7 + 6p + -8p Reorder the terms: -8 + p = 7 + 6p + -8p Combine like terms: 6p + -8p = -2p -8 + p = 7 + -2p Solving -8 + p = 7 + -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. -8 + p + 2p = 7 + -2p + 2p Combine like terms: p + 2p = 3p -8 + 3p = 7 + -2p + 2p Combine like terms: -2p + 2p = 0 -8 + 3p = 7 + 0 -8 + 3p = 7 Add '8' to each side of the equation. -8 + 8 + 3p = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3p = 7 + 8 3p = 7 + 8 Combine like terms: 7 + 8 = 15 3p = 15 Divide each side by '3'. p = 5 Simplifying p = 5
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