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Simplifying -2.1 = 3.2k + 0.2 + -1.2k Reorder the terms: -2.1 = 0.2 + 3.2k + -1.2k Combine like terms: 3.2k + -1.2k = 2k -2.1 = 0.2 + 2k Solving -2.1 = 0.2 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -2.1 + -2k = 0.2 + 2k + -2k Combine like terms: 2k + -2k = 0 -2.1 + -2k = 0.2 + 0 -2.1 + -2k = 0.2 Add '2.1' to each side of the equation. -2.1 + 2.1 + -2k = 0.2 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + -2k = 0.2 + 2.1 -2k = 0.2 + 2.1 Combine like terms: 0.2 + 2.1 = 2.3 -2k = 2.3 Divide each side by '-2'. k = -1.15 Simplifying k = -1.15
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