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Simplifying p2 + 4p + -2 = p2 + -1p + 8 Reorder the terms: -2 + 4p + p2 = p2 + -1p + 8 Reorder the terms: -2 + 4p + p2 = 8 + -1p + p2 Add '-1p2' to each side of the equation. -2 + 4p + p2 + -1p2 = 8 + -1p + p2 + -1p2 Combine like terms: p2 + -1p2 = 0 -2 + 4p + 0 = 8 + -1p + p2 + -1p2 -2 + 4p = 8 + -1p + p2 + -1p2 Combine like terms: p2 + -1p2 = 0 -2 + 4p = 8 + -1p + 0 -2 + 4p = 8 + -1p Solving -2 + 4p = 8 + -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. -2 + 4p + p = 8 + -1p + p Combine like terms: 4p + p = 5p -2 + 5p = 8 + -1p + p Combine like terms: -1p + p = 0 -2 + 5p = 8 + 0 -2 + 5p = 8 Add '2' to each side of the equation. -2 + 2 + 5p = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 5p = 8 + 2 5p = 8 + 2 Combine like terms: 8 + 2 = 10 5p = 10 Divide each side by '5'. p = 2 Simplifying p = 2
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