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