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Simplifying -1k + 0.03 + 1.01k = -2.45 + -1.81k Reorder the terms: 0.03 + -1k + 1.01k = -2.45 + -1.81k Combine like terms: -1k + 1.01k = 0.01k 0.03 + 0.01k = -2.45 + -1.81k Solving 0.03 + 0.01k = -2.45 + -1.81k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.81k' to each side of the equation. 0.03 + 0.01k + 1.81k = -2.45 + -1.81k + 1.81k Combine like terms: 0.01k + 1.81k = 1.82k 0.03 + 1.82k = -2.45 + -1.81k + 1.81k Combine like terms: -1.81k + 1.81k = 0.00 0.03 + 1.82k = -2.45 + 0.00 0.03 + 1.82k = -2.45 Add '-0.03' to each side of the equation. 0.03 + -0.03 + 1.82k = -2.45 + -0.03 Combine like terms: 0.03 + -0.03 = 0.00 0.00 + 1.82k = -2.45 + -0.03 1.82k = -2.45 + -0.03 Combine like terms: -2.45 + -0.03 = -2.48 1.82k = -2.48 Divide each side by '1.82'. k = -1.362637363 Simplifying k = -1.362637363
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