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Simplifying 2x3 + 9x2 + -24x + 3 + -1k = 0 Reorder the terms: 3 + -1k + -24x + 9x2 + 2x3 = 0 Solving 3 + -1k + -24x + 9x2 + 2x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1k + -24x + 9x2 + -3 + 2x3 = 0 + -3 Reorder the terms: 3 + -3 + -1k + -24x + 9x2 + 2x3 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1k + -24x + 9x2 + 2x3 = 0 + -3 -1k + -24x + 9x2 + 2x3 = 0 + -3 Combine like terms: 0 + -3 = -3 -1k + -24x + 9x2 + 2x3 = -3 Add '24x' to each side of the equation. -1k + -24x + 9x2 + 24x + 2x3 = -3 + 24x Reorder the terms: -1k + -24x + 24x + 9x2 + 2x3 = -3 + 24x Combine like terms: -24x + 24x = 0 -1k + 0 + 9x2 + 2x3 = -3 + 24x -1k + 9x2 + 2x3 = -3 + 24x Add '-9x2' to each side of the equation. -1k + 9x2 + -9x2 + 2x3 = -3 + 24x + -9x2 Combine like terms: 9x2 + -9x2 = 0 -1k + 0 + 2x3 = -3 + 24x + -9x2 -1k + 2x3 = -3 + 24x + -9x2 Add '-2x3' to each side of the equation. -1k + 2x3 + -2x3 = -3 + 24x + -9x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 -1k + 0 = -3 + 24x + -9x2 + -2x3 -1k = -3 + 24x + -9x2 + -2x3 Divide each side by '-1'. k = 3 + -24x + 9x2 + 2x3 Simplifying k = 3 + -24x + 9x2 + 2x3
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