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Simplifying 14 + -6k + -3 = k + -1 + -4k Reorder the terms: 14 + -3 + -6k = k + -1 + -4k Combine like terms: 14 + -3 = 11 11 + -6k = k + -1 + -4k Reorder the terms: 11 + -6k = -1 + k + -4k Combine like terms: k + -4k = -3k 11 + -6k = -1 + -3k Solving 11 + -6k = -1 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. 11 + -6k + 3k = -1 + -3k + 3k Combine like terms: -6k + 3k = -3k 11 + -3k = -1 + -3k + 3k Combine like terms: -3k + 3k = 0 11 + -3k = -1 + 0 11 + -3k = -1 Add '-11' to each side of the equation. 11 + -11 + -3k = -1 + -11 Combine like terms: 11 + -11 = 0 0 + -3k = -1 + -11 -3k = -1 + -11 Combine like terms: -1 + -11 = -12 -3k = -12 Divide each side by '-3'. k = 4 Simplifying k = 4
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