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Simplifying 6(x + -1k) = 5x + 4 Reorder the terms: 6(-1k + x) = 5x + 4 (-1k * 6 + x * 6) = 5x + 4 (-6k + 6x) = 5x + 4 Reorder the terms: -6k + 6x = 4 + 5x Solving -6k + 6x = 4 + 5x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6x' to each side of the equation. -6k + 6x + -6x = 4 + 5x + -6x Combine like terms: 6x + -6x = 0 -6k + 0 = 4 + 5x + -6x -6k = 4 + 5x + -6x Combine like terms: 5x + -6x = -1x -6k = 4 + -1x Divide each side by '-6'. k = -0.6666666667 + 0.1666666667x Simplifying k = -0.6666666667 + 0.1666666667x
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