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Simplifying x3 + 6x2 + 9x + 1 + -1k = 0 Reorder the terms: 1 + -1k + 9x + 6x2 + x3 = 0 Solving 1 + -1k + 9x + 6x2 + x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1k + 9x + 6x2 + -1 + x3 = 0 + -1 Reorder the terms: 1 + -1 + -1k + 9x + 6x2 + x3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k + 9x + 6x2 + x3 = 0 + -1 -1k + 9x + 6x2 + x3 = 0 + -1 Combine like terms: 0 + -1 = -1 -1k + 9x + 6x2 + x3 = -1 Add '-9x' to each side of the equation. -1k + 9x + 6x2 + -9x + x3 = -1 + -9x Reorder the terms: -1k + 9x + -9x + 6x2 + x3 = -1 + -9x Combine like terms: 9x + -9x = 0 -1k + 0 + 6x2 + x3 = -1 + -9x -1k + 6x2 + x3 = -1 + -9x Add '-6x2' to each side of the equation. -1k + 6x2 + -6x2 + x3 = -1 + -9x + -6x2 Combine like terms: 6x2 + -6x2 = 0 -1k + 0 + x3 = -1 + -9x + -6x2 -1k + x3 = -1 + -9x + -6x2 Add '-1x3' to each side of the equation. -1k + x3 + -1x3 = -1 + -9x + -6x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -1k + 0 = -1 + -9x + -6x2 + -1x3 -1k = -1 + -9x + -6x2 + -1x3 Divide each side by '-1'. k = 1 + 9x + 6x2 + x3 Simplifying k = 1 + 9x + 6x2 + x3
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