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Simplifying 6p2 + -16p + -8 = 6p2 + -3p + 5 Reorder the terms: -8 + -16p + 6p2 = 6p2 + -3p + 5 Reorder the terms: -8 + -16p + 6p2 = 5 + -3p + 6p2 Add '-6p2' to each side of the equation. -8 + -16p + 6p2 + -6p2 = 5 + -3p + 6p2 + -6p2 Combine like terms: 6p2 + -6p2 = 0 -8 + -16p + 0 = 5 + -3p + 6p2 + -6p2 -8 + -16p = 5 + -3p + 6p2 + -6p2 Combine like terms: 6p2 + -6p2 = 0 -8 + -16p = 5 + -3p + 0 -8 + -16p = 5 + -3p Solving -8 + -16p = 5 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -8 + -16p + 3p = 5 + -3p + 3p Combine like terms: -16p + 3p = -13p -8 + -13p = 5 + -3p + 3p Combine like terms: -3p + 3p = 0 -8 + -13p = 5 + 0 -8 + -13p = 5 Add '8' to each side of the equation. -8 + 8 + -13p = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -13p = 5 + 8 -13p = 5 + 8 Combine like terms: 5 + 8 = 13 -13p = 13 Divide each side by '-13'. p = -1 Simplifying p = -1
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