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Simplifying 8k + -14 + -3k = 7k + 4k Reorder the terms: -14 + 8k + -3k = 7k + 4k Combine like terms: 8k + -3k = 5k -14 + 5k = 7k + 4k Combine like terms: 7k + 4k = 11k -14 + 5k = 11k Solving -14 + 5k = 11k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-11k' to each side of the equation. -14 + 5k + -11k = 11k + -11k Combine like terms: 5k + -11k = -6k -14 + -6k = 11k + -11k Combine like terms: 11k + -11k = 0 -14 + -6k = 0 Add '14' to each side of the equation. -14 + 14 + -6k = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -6k = 0 + 14 -6k = 0 + 14 Combine like terms: 0 + 14 = 14 -6k = 14 Divide each side by '-6'. k = -2.333333333 Simplifying k = -2.333333333
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