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Simplifying 8 + 3p + -1 = 8p + 10 + -6p Reorder the terms: 8 + -1 + 3p = 8p + 10 + -6p Combine like terms: 8 + -1 = 7 7 + 3p = 8p + 10 + -6p Reorder the terms: 7 + 3p = 10 + 8p + -6p Combine like terms: 8p + -6p = 2p 7 + 3p = 10 + 2p Solving 7 + 3p = 10 + 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. 7 + 3p + -2p = 10 + 2p + -2p Combine like terms: 3p + -2p = 1p 7 + 1p = 10 + 2p + -2p Combine like terms: 2p + -2p = 0 7 + 1p = 10 + 0 7 + 1p = 10 Add '-7' to each side of the equation. 7 + -7 + 1p = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 1p = 10 + -7 1p = 10 + -7 Combine like terms: 10 + -7 = 3 1p = 3 Divide each side by '1'. p = 3 Simplifying p = 3
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