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Simplifying 0.6k + 1.6 = 0.3k + 0.7 Reorder the terms: 1.6 + 0.6k = 0.3k + 0.7 Reorder the terms: 1.6 + 0.6k = 0.7 + 0.3k Solving 1.6 + 0.6k = 0.7 + 0.3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.3k' to each side of the equation. 1.6 + 0.6k + -0.3k = 0.7 + 0.3k + -0.3k Combine like terms: 0.6k + -0.3k = 0.3k 1.6 + 0.3k = 0.7 + 0.3k + -0.3k Combine like terms: 0.3k + -0.3k = 0.0 1.6 + 0.3k = 0.7 + 0.0 1.6 + 0.3k = 0.7 Add '-1.6' to each side of the equation. 1.6 + -1.6 + 0.3k = 0.7 + -1.6 Combine like terms: 1.6 + -1.6 = 0.0 0.0 + 0.3k = 0.7 + -1.6 0.3k = 0.7 + -1.6 Combine like terms: 0.7 + -1.6 = -0.9 0.3k = -0.9 Divide each side by '0.3'. k = -3 Simplifying k = -3
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