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Simplifying 0.4k + -0.6 = 1.3k + 1.2 Reorder the terms: -0.6 + 0.4k = 1.3k + 1.2 Reorder the terms: -0.6 + 0.4k = 1.2 + 1.3k Solving -0.6 + 0.4k = 1.2 + 1.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.3k' to each side of the equation. -0.6 + 0.4k + -1.3k = 1.2 + 1.3k + -1.3k Combine like terms: 0.4k + -1.3k = -0.9k -0.6 + -0.9k = 1.2 + 1.3k + -1.3k Combine like terms: 1.3k + -1.3k = 0.0 -0.6 + -0.9k = 1.2 + 0.0 -0.6 + -0.9k = 1.2 Add '0.6' to each side of the equation. -0.6 + 0.6 + -0.9k = 1.2 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + -0.9k = 1.2 + 0.6 -0.9k = 1.2 + 0.6 Combine like terms: 1.2 + 0.6 = 1.8 -0.9k = 1.8 Divide each side by '-0.9'. k = -2 Simplifying k = -2
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