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Simplifying -1 + -2k = 5k + 5 Reorder the terms: -1 + -2k = 5 + 5k Solving -1 + -2k = 5 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -1 + -2k + -5k = 5 + 5k + -5k Combine like terms: -2k + -5k = -7k -1 + -7k = 5 + 5k + -5k Combine like terms: 5k + -5k = 0 -1 + -7k = 5 + 0 -1 + -7k = 5 Add '1' to each side of the equation. -1 + 1 + -7k = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -7k = 5 + 1 -7k = 5 + 1 Combine like terms: 5 + 1 = 6 -7k = 6 Divide each side by '-7'. k = -0.8571428571 Simplifying k = -0.8571428571
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