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Simplifying 2.983 = k + 5.6 + -3.617 Reorder the terms: 2.983 = 5.6 + -3.617 + k Combine like terms: 5.6 + -3.617 = 1.983 2.983 = 1.983 + k Solving 2.983 = 1.983 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 2.983 + -1k = 1.983 + k + -1k Combine like terms: k + -1k = 0 2.983 + -1k = 1.983 + 0 2.983 + -1k = 1.983 Add '-2.983' to each side of the equation. 2.983 + -2.983 + -1k = 1.983 + -2.983 Combine like terms: 2.983 + -2.983 = 0.000 0.000 + -1k = 1.983 + -2.983 -1k = 1.983 + -2.983 Combine like terms: 1.983 + -2.983 = -1 -1k = -1 Divide each side by '-1'. k = 1 Simplifying k = 1
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