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Simplifying 7k + 8 = 2k + -42 Reorder the terms: 8 + 7k = 2k + -42 Reorder the terms: 8 + 7k = -42 + 2k Solving 8 + 7k = -42 + 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 + 7k + -2k = -42 + 2k + -2k Combine like terms: 7k + -2k = 5k 8 + 5k = -42 + 2k + -2k Combine like terms: 2k + -2k = 0 8 + 5k = -42 + 0 8 + 5k = -42 Add '-8' to each side of the equation. 8 + -8 + 5k = -42 + -8 Combine like terms: 8 + -8 = 0 0 + 5k = -42 + -8 5k = -42 + -8 Combine like terms: -42 + -8 = -50 5k = -50 Divide each side by '5'. k = -10 Simplifying k = -10
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