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