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Simplifying 5k + 5 = -2 + -3k + k Reorder the terms: 5 + 5k = -2 + -3k + k Combine like terms: -3k + k = -2k 5 + 5k = -2 + -2k Solving 5 + 5k = -2 + -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. 5 + 5k + 2k = -2 + -2k + 2k Combine like terms: 5k + 2k = 7k 5 + 7k = -2 + -2k + 2k Combine like terms: -2k + 2k = 0 5 + 7k = -2 + 0 5 + 7k = -2 Add '-5' to each side of the equation. 5 + -5 + 7k = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 7k = -2 + -5 7k = -2 + -5 Combine like terms: -2 + -5 = -7 7k = -7 Divide each side by '7'. k = -1 Simplifying k = -1
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