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Simplifying -0.67(1k + 0.4) = 0.83 Reorder the terms: -0.67(0.4 + 1k) = 0.83 (0.4 * -0.67 + 1k * -0.67) = 0.83 (-0.268 + -0.67k) = 0.83 Solving -0.268 + -0.67k = 0.83 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.268' to each side of the equation. -0.268 + 0.268 + -0.67k = 0.83 + 0.268 Combine like terms: -0.268 + 0.268 = 0.000 0.000 + -0.67k = 0.83 + 0.268 -0.67k = 0.83 + 0.268 Combine like terms: 0.83 + 0.268 = 1.098 -0.67k = 1.098 Divide each side by '-0.67'. k = -1.63880597 Simplifying k = -1.63880597
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