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Simplifying 2y + 2k + 4x + -4 = 0 Reorder the terms: -4 + 2k + 4x + 2y = 0 Solving -4 + 2k + 4x + 2y = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2k + 4x + 4 + 2y = 0 + 4 Reorder the terms: -4 + 4 + 2k + 4x + 2y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2k + 4x + 2y = 0 + 4 2k + 4x + 2y = 0 + 4 Combine like terms: 0 + 4 = 4 2k + 4x + 2y = 4 Add '-4x' to each side of the equation. 2k + 4x + -4x + 2y = 4 + -4x Combine like terms: 4x + -4x = 0 2k + 0 + 2y = 4 + -4x 2k + 2y = 4 + -4x Add '-2y' to each side of the equation. 2k + 2y + -2y = 4 + -4x + -2y Combine like terms: 2y + -2y = 0 2k + 0 = 4 + -4x + -2y 2k = 4 + -4x + -2y Divide each side by '2'. k = 2 + -2x + -1y Simplifying k = 2 + -2x + -1y
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