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Simplifying 8.3 + 1.4k = 0.3(2 + -1k) 8.3 + 1.4k = (2 * 0.3 + -1k * 0.3) 8.3 + 1.4k = (0.6 + -0.3k) Solving 8.3 + 1.4k = 0.6 + -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. 8.3 + 1.4k + 0.3k = 0.6 + -0.3k + 0.3k Combine like terms: 1.4k + 0.3k = 1.7k 8.3 + 1.7k = 0.6 + -0.3k + 0.3k Combine like terms: -0.3k + 0.3k = 0.0 8.3 + 1.7k = 0.6 + 0.0 8.3 + 1.7k = 0.6 Add '-8.3' to each side of the equation. 8.3 + -8.3 + 1.7k = 0.6 + -8.3 Combine like terms: 8.3 + -8.3 = 0.0 0.0 + 1.7k = 0.6 + -8.3 1.7k = 0.6 + -8.3 Combine like terms: 0.6 + -8.3 = -7.7 1.7k = -7.7 Divide each side by '1.7'. k = -4.529411765 Simplifying k = -4.529411765
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