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Simplifying 0.3k + 1.4 = 4.2 + -0.1k Reorder the terms: 1.4 + 0.3k = 4.2 + -0.1k Solving 1.4 + 0.3k = 4.2 + -0.1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '0.1k' to each side of the equation. 1.4 + 0.3k + 0.1k = 4.2 + -0.1k + 0.1k Combine like terms: 0.3k + 0.1k = 0.4k 1.4 + 0.4k = 4.2 + -0.1k + 0.1k Combine like terms: -0.1k + 0.1k = 0.0 1.4 + 0.4k = 4.2 + 0.0 1.4 + 0.4k = 4.2 Add '-1.4' to each side of the equation. 1.4 + -1.4 + 0.4k = 4.2 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + 0.4k = 4.2 + -1.4 0.4k = 4.2 + -1.4 Combine like terms: 4.2 + -1.4 = 2.8 0.4k = 2.8 Divide each side by '0.4'. k = 7 Simplifying k = 7
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