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Simplifying -0.3k + 0.61 = 0.7 + -3k Reorder the terms: 0.61 + -0.3k = 0.7 + -3k Solving 0.61 + -0.3k = 0.7 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 0.61 + -0.3k + 3k = 0.7 + -3k + 3k Combine like terms: -0.3k + 3k = 2.7k 0.61 + 2.7k = 0.7 + -3k + 3k Combine like terms: -3k + 3k = 0 0.61 + 2.7k = 0.7 + 0 0.61 + 2.7k = 0.7 Add '-0.61' to each side of the equation. 0.61 + -0.61 + 2.7k = 0.7 + -0.61 Combine like terms: 0.61 + -0.61 = 0.00 0.00 + 2.7k = 0.7 + -0.61 2.7k = 0.7 + -0.61 Combine like terms: 0.7 + -0.61 = 0.09 2.7k = 0.09 Divide each side by '2.7'. k = 0.03333333333 Simplifying k = 0.03333333333
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