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Simplifying 28 + 8k = k + 5 + -2 * 42 + 4 + -25 + 45 Multiply -2 * 42 28 + 8k = k + 5 + -84 + 4 + -25 + 45 Reorder the terms: 28 + 8k = 5 + -84 + 4 + -25 + 45 + k Combine like terms: 5 + -84 = -79 28 + 8k = -79 + 4 + -25 + 45 + k Combine like terms: -79 + 4 = -75 28 + 8k = -75 + -25 + 45 + k Combine like terms: -75 + -25 = -100 28 + 8k = -100 + 45 + k Combine like terms: -100 + 45 = -55 28 + 8k = -55 + k Solving 28 + 8k = -55 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 28 + 8k + -1k = -55 + k + -1k Combine like terms: 8k + -1k = 7k 28 + 7k = -55 + k + -1k Combine like terms: k + -1k = 0 28 + 7k = -55 + 0 28 + 7k = -55 Add '-28' to each side of the equation. 28 + -28 + 7k = -55 + -28 Combine like terms: 28 + -28 = 0 0 + 7k = -55 + -28 7k = -55 + -28 Combine like terms: -55 + -28 = -83 7k = -83 Divide each side by '7'. k = -11.85714286 Simplifying k = -11.85714286
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