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Simplifying 6x3 + -1kx2 + -6x + 8 = 0 Reorder the terms: 8 + -1kx2 + -6x + 6x3 = 0 Solving 8 + -1kx2 + -6x + 6x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1kx2 + -6x + -8 + 6x3 = 0 + -8 Reorder the terms: 8 + -8 + -1kx2 + -6x + 6x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1kx2 + -6x + 6x3 = 0 + -8 -1kx2 + -6x + 6x3 = 0 + -8 Combine like terms: 0 + -8 = -8 -1kx2 + -6x + 6x3 = -8 Add '6x' to each side of the equation. -1kx2 + -6x + 6x + 6x3 = -8 + 6x Combine like terms: -6x + 6x = 0 -1kx2 + 0 + 6x3 = -8 + 6x -1kx2 + 6x3 = -8 + 6x Add '-6x3' to each side of the equation. -1kx2 + 6x3 + -6x3 = -8 + 6x + -6x3 Combine like terms: 6x3 + -6x3 = 0 -1kx2 + 0 = -8 + 6x + -6x3 -1kx2 = -8 + 6x + -6x3 Divide each side by '-1x2'. k = 8x-2 + -6x-1 + 6x Simplifying k = 8x-2 + -6x-1 + 6x
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