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Simplifying 3x2 + -7x + 6 + -1k = 0 Reorder the terms: 6 + -1k + -7x + 3x2 = 0 Solving 6 + -1k + -7x + 3x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1k + -7x + -6 + 3x2 = 0 + -6 Reorder the terms: 6 + -6 + -1k + -7x + 3x2 = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1k + -7x + 3x2 = 0 + -6 -1k + -7x + 3x2 = 0 + -6 Combine like terms: 0 + -6 = -6 -1k + -7x + 3x2 = -6 Add '7x' to each side of the equation. -1k + -7x + 7x + 3x2 = -6 + 7x Combine like terms: -7x + 7x = 0 -1k + 0 + 3x2 = -6 + 7x -1k + 3x2 = -6 + 7x Add '-3x2' to each side of the equation. -1k + 3x2 + -3x2 = -6 + 7x + -3x2 Combine like terms: 3x2 + -3x2 = 0 -1k + 0 = -6 + 7x + -3x2 -1k = -6 + 7x + -3x2 Divide each side by '-1'. k = 6 + -7x + 3x2 Simplifying k = 6 + -7x + 3x2
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