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Simplifying 8k + -14 + -3k = 7k + 4 + 5 Reorder the terms: -14 + 8k + -3k = 7k + 4 + 5 Combine like terms: 8k + -3k = 5k -14 + 5k = 7k + 4 + 5 Reorder the terms: -14 + 5k = 4 + 5 + 7k Combine like terms: 4 + 5 = 9 -14 + 5k = 9 + 7k Solving -14 + 5k = 9 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -14 + 5k + -7k = 9 + 7k + -7k Combine like terms: 5k + -7k = -2k -14 + -2k = 9 + 7k + -7k Combine like terms: 7k + -7k = 0 -14 + -2k = 9 + 0 -14 + -2k = 9 Add '14' to each side of the equation. -14 + 14 + -2k = 9 + 14 Combine like terms: -14 + 14 = 0 0 + -2k = 9 + 14 -2k = 9 + 14 Combine like terms: 9 + 14 = 23 -2k = 23 Divide each side by '-2'. k = -11.5 Simplifying k = -11.5
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