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Simplifying 2(4x + -1k) = 0.25(4 + -2x) Reorder the terms: 2(-1k + 4x) = 0.25(4 + -2x) (-1k * 2 + 4x * 2) = 0.25(4 + -2x) (-2k + 8x) = 0.25(4 + -2x) -2k + 8x = (4 * 0.25 + -2x * 0.25) -2k + 8x = (1 + -0.5x) Solving -2k + 8x = 1 + -0.5x 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. -2k + 8x + -8x = 1 + -0.5x + -8x Combine like terms: 8x + -8x = 0 -2k + 0 = 1 + -0.5x + -8x -2k = 1 + -0.5x + -8x Combine like terms: -0.5x + -8x = -8.5x -2k = 1 + -8.5x Divide each side by '-2'. k = -0.5 + 4.25x Simplifying k = -0.5 + 4.25x
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