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Simplifying p + -7 = 10 + 1 + -8p + 6 Reorder the terms: -7 + p = 10 + 1 + -8p + 6 Reorder the terms: -7 + p = 10 + 1 + 6 + -8p Combine like terms: 10 + 1 = 11 -7 + p = 11 + 6 + -8p Combine like terms: 11 + 6 = 17 -7 + p = 17 + -8p Solving -7 + p = 17 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. -7 + p + 8p = 17 + -8p + 8p Combine like terms: p + 8p = 9p -7 + 9p = 17 + -8p + 8p Combine like terms: -8p + 8p = 0 -7 + 9p = 17 + 0 -7 + 9p = 17 Add '7' to each side of the equation. -7 + 7 + 9p = 17 + 7 Combine like terms: -7 + 7 = 0 0 + 9p = 17 + 7 9p = 17 + 7 Combine like terms: 17 + 7 = 24 9p = 24 Divide each side by '9'. p = 2.666666667 Simplifying p = 2.666666667
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