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Simplifying 5k + 6[-2k + 6] = 85 Reorder the terms: 5k + 6[6 + -2k] = 85 5k + [6 * 6 + -2k * 6] = 85 5k + [36 + -12k] = 85 Reorder the terms: 36 + 5k + -12k = 85 Combine like terms: 5k + -12k = -7k 36 + -7k = 85 Solving 36 + -7k = 85 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + -7k = 85 + -36 Combine like terms: 36 + -36 = 0 0 + -7k = 85 + -36 -7k = 85 + -36 Combine like terms: 85 + -36 = 49 -7k = 49 Divide each side by '-7'. k = -7 Simplifying k = -7
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