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Simplifying 5x + 7y + -1kx = -6 Reorder the terms: -1kx + 5x + 7y = -6 Solving -1kx + 5x + 7y = -6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5x' to each side of the equation. -1kx + 5x + -5x + 7y = -6 + -5x Combine like terms: 5x + -5x = 0 -1kx + 0 + 7y = -6 + -5x -1kx + 7y = -6 + -5x Add '-7y' to each side of the equation. -1kx + 7y + -7y = -6 + -5x + -7y Combine like terms: 7y + -7y = 0 -1kx + 0 = -6 + -5x + -7y -1kx = -6 + -5x + -7y Divide each side by '-1x'. k = 6x-1 + 5 + 7x-1y Simplifying k = 6x-1 + 5 + 7x-1y Reorder the terms: k = 5 + 6x-1 + 7x-1y
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