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Simplifying 8 + 5k = 1 + -2k Solving 8 + 5k = 1 + -2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '2k' to each side of the equation. 8 + 5k + 2k = 1 + -2k + 2k Combine like terms: 5k + 2k = 7k 8 + 7k = 1 + -2k + 2k Combine like terms: -2k + 2k = 0 8 + 7k = 1 + 0 8 + 7k = 1 Add '-8' to each side of the equation. 8 + -8 + 7k = 1 + -8 Combine like terms: 8 + -8 = 0 0 + 7k = 1 + -8 7k = 1 + -8 Combine like terms: 1 + -8 = -7 7k = -7 Divide each side by '7'. k = -1 Simplifying k = -1
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