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Simplifying x2 + -31 + -2k = -6 + -3x2 + -2x Reorder the terms: -31 + -2k + x2 = -6 + -3x2 + -2x Reorder the terms: -31 + -2k + x2 = -6 + -2x + -3x2 Solving -31 + -2k + x2 = -6 + -2x + -3x2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '31' to each side of the equation. -31 + -2k + 31 + x2 = -6 + -2x + 31 + -3x2 Reorder the terms: -31 + 31 + -2k + x2 = -6 + -2x + 31 + -3x2 Combine like terms: -31 + 31 = 0 0 + -2k + x2 = -6 + -2x + 31 + -3x2 -2k + x2 = -6 + -2x + 31 + -3x2 Reorder the terms: -2k + x2 = -6 + 31 + -2x + -3x2 Combine like terms: -6 + 31 = 25 -2k + x2 = 25 + -2x + -3x2 Add '-1x2' to each side of the equation. -2k + x2 + -1x2 = 25 + -2x + -3x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2k + 0 = 25 + -2x + -3x2 + -1x2 -2k = 25 + -2x + -3x2 + -1x2 Combine like terms: -3x2 + -1x2 = -4x2 -2k = 25 + -2x + -4x2 Divide each side by '-2'. k = -12.5 + x + 2x2 Simplifying k = -12.5 + x + 2x2
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