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Simplifying 0.3k + 1.4 = 4.2 + -0.1 Reorder the terms: 1.4 + 0.3k = 4.2 + -0.1 Combine like terms: 4.2 + -0.1 = 4.1 1.4 + 0.3k = 4.1 Solving 1.4 + 0.3k = 4.1 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.3k = 4.1 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.3k = 4.1 + -1.4 0.3k = 4.1 + -1.4 Combine like terms: 4.1 + -1.4 = 2.7 0.3k = 2.7 Divide each side by '0.3'. k = 9 Simplifying k = 9
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