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Simplifying -14 + 7k + -4k = 1 + 6k Combine like terms: 7k + -4k = 3k -14 + 3k = 1 + 6k Solving -14 + 3k = 1 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -14 + 3k + -6k = 1 + 6k + -6k Combine like terms: 3k + -6k = -3k -14 + -3k = 1 + 6k + -6k Combine like terms: 6k + -6k = 0 -14 + -3k = 1 + 0 -14 + -3k = 1 Add '14' to each side of the equation. -14 + 14 + -3k = 1 + 14 Combine like terms: -14 + 14 = 0 0 + -3k = 1 + 14 -3k = 1 + 14 Combine like terms: 1 + 14 = 15 -3k = 15 Divide each side by '-3'. k = -5 Simplifying k = -5
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