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Simplifying -0.5(k + -4.2) = 2 Reorder the terms: -0.5(-4.2 + k) = 2 (-4.2 * -0.5 + k * -0.5) = 2 (2.1 + -0.5k) = 2 Solving 2.1 + -0.5k = 2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.1' to each side of the equation. 2.1 + -2.1 + -0.5k = 2 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + -0.5k = 2 + -2.1 -0.5k = 2 + -2.1 Combine like terms: 2 + -2.1 = -0.1 -0.5k = -0.1 Divide each side by '-0.5'. k = 0.2 Simplifying k = 0.2
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