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Simplifying -0.2(k + -0.3) = 1.8 Reorder the terms: -0.2(-0.3 + k) = 1.8 (-0.3 * -0.2 + k * -0.2) = 1.8 (0.06 + -0.2k) = 1.8 Solving 0.06 + -0.2k = 1.8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.06' to each side of the equation. 0.06 + -0.06 + -0.2k = 1.8 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + -0.2k = 1.8 + -0.06 -0.2k = 1.8 + -0.06 Combine like terms: 1.8 + -0.06 = 1.74 -0.2k = 1.74 Divide each side by '-0.2'. k = -8.7 Simplifying k = -8.7
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