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Simplifying p2 + -6p + -1 = p2 + -1p + 6 Reorder the terms: -1 + -6p + p2 = p2 + -1p + 6 Reorder the terms: -1 + -6p + p2 = 6 + -1p + p2 Add '-1p2' to each side of the equation. -1 + -6p + p2 + -1p2 = 6 + -1p + p2 + -1p2 Combine like terms: p2 + -1p2 = 0 -1 + -6p + 0 = 6 + -1p + p2 + -1p2 -1 + -6p = 6 + -1p + p2 + -1p2 Combine like terms: p2 + -1p2 = 0 -1 + -6p = 6 + -1p + 0 -1 + -6p = 6 + -1p Solving -1 + -6p = 6 + -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 = 6 + -1p + p Combine like terms: -6p + p = -5p -1 + -5p = 6 + -1p + p Combine like terms: -1p + p = 0 -1 + -5p = 6 + 0 -1 + -5p = 6 Add '1' to each side of the equation. -1 + 1 + -5p = 6 + 1 Combine like terms: -1 + 1 = 0 0 + -5p = 6 + 1 -5p = 6 + 1 Combine like terms: 6 + 1 = 7 -5p = 7 Divide each side by '-5'. p = -1.4 Simplifying p = -1.4
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