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Simplifying (k + -2) * x + -2y = 7 Reorder the terms: (-2 + k) * x + -2y = 7 Reorder the terms for easier multiplication: x(-2 + k) + -2y = 7 (-2 * x + k * x) + -2y = 7 Reorder the terms: (kx + -2x) + -2y = 7 (kx + -2x) + -2y = 7 Solving kx + -2x + -2y = 7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2x' to each side of the equation. kx + -2x + 2x + -2y = 7 + 2x Combine like terms: -2x + 2x = 0 kx + 0 + -2y = 7 + 2x kx + -2y = 7 + 2x Add '2y' to each side of the equation. kx + -2y + 2y = 7 + 2x + 2y Combine like terms: -2y + 2y = 0 kx + 0 = 7 + 2x + 2y kx = 7 + 2x + 2y Divide each side by 'x'. k = 7x-1 + 2 + 2x-1y Simplifying k = 7x-1 + 2 + 2x-1y Reorder the terms: k = 2 + 7x-1 + 2x-1y
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