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Simplifying 4kx + -1y + 1 = 0 Reorder the terms: 1 + 4kx + -1y = 0 Solving 1 + 4kx + -1y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 4kx + -1 + -1y = 0 + -1 Reorder the terms: 1 + -1 + 4kx + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4kx + -1y = 0 + -1 4kx + -1y = 0 + -1 Combine like terms: 0 + -1 = -1 4kx + -1y = -1 Add 'y' to each side of the equation. 4kx + -1y + y = -1 + y Combine like terms: -1y + y = 0 4kx + 0 = -1 + y 4kx = -1 + y Divide each side by '4x'. k = -0.25x-1 + 0.25x-1y Simplifying k = -0.25x-1 + 0.25x-1y
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