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Simplifying 2kx + 8x + -2y = 15 Solving 2kx + 8x + -2y = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8x' to each side of the equation. 2kx + 8x + -8x + -2y = 15 + -8x Combine like terms: 8x + -8x = 0 2kx + 0 + -2y = 15 + -8x 2kx + -2y = 15 + -8x Add '2y' to each side of the equation. 2kx + -2y + 2y = 15 + -8x + 2y Combine like terms: -2y + 2y = 0 2kx + 0 = 15 + -8x + 2y 2kx = 15 + -8x + 2y Divide each side by '2x'. k = 7.5x-1 + -4 + x-1y Simplifying k = 7.5x-1 + -4 + x-1y Reorder the terms: k = -4 + 7.5x-1 + x-1y
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