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Simplifying -1p + 10 = -6p + -8 + 8p Reorder the terms: 10 + -1p = -6p + -8 + 8p Reorder the terms: 10 + -1p = -8 + -6p + 8p Combine like terms: -6p + 8p = 2p 10 + -1p = -8 + 2p Solving 10 + -1p = -8 + 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. 10 + -1p + -2p = -8 + 2p + -2p Combine like terms: -1p + -2p = -3p 10 + -3p = -8 + 2p + -2p Combine like terms: 2p + -2p = 0 10 + -3p = -8 + 0 10 + -3p = -8 Add '-10' to each side of the equation. 10 + -10 + -3p = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -3p = -8 + -10 -3p = -8 + -10 Combine like terms: -8 + -10 = -18 -3p = -18 Divide each side by '-3'. p = 6 Simplifying p = 6
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