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Simplifying x2 + 6k + 7 = 0 Reorder the terms: 7 + 6k + x2 = 0 Solving 7 + 6k + x2 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 6k + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 6k + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6k + x2 = 0 + -7 6k + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 6k + x2 = -7 Add '-1x2' to each side of the equation. 6k + x2 + -1x2 = -7 + -1x2 Combine like terms: x2 + -1x2 = 0 6k + 0 = -7 + -1x2 6k = -7 + -1x2 Divide each side by '6'. k = -1.166666667 + -0.1666666667x2 Simplifying k = -1.166666667 + -0.1666666667x2
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