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Simplifying 8p + -1 = 10 + p + 1 + -5 Reorder the terms: -1 + 8p = 10 + p + 1 + -5 Reorder the terms: -1 + 8p = 10 + 1 + -5 + p Combine like terms: 10 + 1 = 11 -1 + 8p = 11 + -5 + p Combine like terms: 11 + -5 = 6 -1 + 8p = 6 + p Solving -1 + 8p = 6 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -1 + 8p + -1p = 6 + p + -1p Combine like terms: 8p + -1p = 7p -1 + 7p = 6 + p + -1p Combine like terms: p + -1p = 0 -1 + 7p = 6 + 0 -1 + 7p = 6 Add '1' to each side of the equation. -1 + 1 + 7p = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 7p = 6 + 1 7p = 6 + 1 Combine like terms: 6 + 1 = 7 7p = 7 Divide each side by '7'. p = 1 Simplifying p = 1
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