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Simplifying p2 + 6p + -1 = p2 + -1p + 7 Reorder the terms: -1 + 6p + p2 = p2 + -1p + 7 Reorder the terms: -1 + 6p + p2 = 7 + -1p + p2 Add '-1p2' to each side of the equation. -1 + 6p + p2 + -1p2 = 7 + -1p + p2 + -1p2 Combine like terms: p2 + -1p2 = 0 -1 + 6p + 0 = 7 + -1p + p2 + -1p2 -1 + 6p = 7 + -1p + p2 + -1p2 Combine like terms: p2 + -1p2 = 0 -1 + 6p = 7 + -1p + 0 -1 + 6p = 7 + -1p Solving -1 + 6p = 7 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. -1 + 6p + p = 7 + -1p + p Combine like terms: 6p + p = 7p -1 + 7p = 7 + -1p + p Combine like terms: -1p + p = 0 -1 + 7p = 7 + 0 -1 + 7p = 7 Add '1' to each side of the equation. -1 + 1 + 7p = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 7p = 7 + 1 7p = 7 + 1 Combine like terms: 7 + 1 = 8 7p = 8 Divide each side by '7'. p = 1.142857143 Simplifying p = 1.142857143
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