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Simplifying -2.1k + 4.7 = -1.7k + 1.5 Reorder the terms: 4.7 + -2.1k = -1.7k + 1.5 Reorder the terms: 4.7 + -2.1k = 1.5 + -1.7k Solving 4.7 + -2.1k = 1.5 + -1.7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1.7k' to each side of the equation. 4.7 + -2.1k + 1.7k = 1.5 + -1.7k + 1.7k Combine like terms: -2.1k + 1.7k = -0.4k 4.7 + -0.4k = 1.5 + -1.7k + 1.7k Combine like terms: -1.7k + 1.7k = 0.0 4.7 + -0.4k = 1.5 + 0.0 4.7 + -0.4k = 1.5 Add '-4.7' to each side of the equation. 4.7 + -4.7 + -0.4k = 1.5 + -4.7 Combine like terms: 4.7 + -4.7 = 0.0 0.0 + -0.4k = 1.5 + -4.7 -0.4k = 1.5 + -4.7 Combine like terms: 1.5 + -4.7 = -3.2 -0.4k = -3.2 Divide each side by '-0.4'. k = 8 Simplifying k = 8
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