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Simplifying 2.5 + 1.6k + 3k + 4.5 = 2.7k + -0.9k Reorder the terms: 2.5 + 4.5 + 1.6k + 3k = 2.7k + -0.9k Combine like terms: 2.5 + 4.5 = 7 7 + 1.6k + 3k = 2.7k + -0.9k Combine like terms: 1.6k + 3k = 4.6k 7 + 4.6k = 2.7k + -0.9k Combine like terms: 2.7k + -0.9k = 1.8k 7 + 4.6k = 1.8k Solving 7 + 4.6k = 1.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.8k' to each side of the equation. 7 + 4.6k + -1.8k = 1.8k + -1.8k Combine like terms: 4.6k + -1.8k = 2.8k 7 + 2.8k = 1.8k + -1.8k Combine like terms: 1.8k + -1.8k = 0.0 7 + 2.8k = 0.0 Add '-7' to each side of the equation. 7 + -7 + 2.8k = 0.0 + -7 Combine like terms: 7 + -7 = 0 0 + 2.8k = 0.0 + -7 2.8k = 0.0 + -7 Combine like terms: 0.0 + -7 = -7 2.8k = -7 Divide each side by '2.8'. k = -2.5 Simplifying k = -2.5
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