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Simplifying -6 = -5x + 4x + 6k Reorder the terms: -6 = 6k + -5x + 4x Combine like terms: -5x + 4x = -1x -6 = 6k + -1x Solving -6 = 6k + -1x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -6 + -6k = 6k + -6k + -1x Combine like terms: 6k + -6k = 0 -6 + -6k = 0 + -1x -6 + -6k = -1x Add '6' to each side of the equation. -6 + 6 + -6k = 6 + -1x Combine like terms: -6 + 6 = 0 0 + -6k = 6 + -1x -6k = 6 + -1x Divide each side by '-6'. k = -1 + 0.1666666667x Simplifying k = -1 + 0.1666666667x
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