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Simplifying -5 + -6k = 3k + -14 Reorder the terms: -5 + -6k = -14 + 3k Solving -5 + -6k = -14 + 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. -5 + -6k + -3k = -14 + 3k + -3k Combine like terms: -6k + -3k = -9k -5 + -9k = -14 + 3k + -3k Combine like terms: 3k + -3k = 0 -5 + -9k = -14 + 0 -5 + -9k = -14 Add '5' to each side of the equation. -5 + 5 + -9k = -14 + 5 Combine like terms: -5 + 5 = 0 0 + -9k = -14 + 5 -9k = -14 + 5 Combine like terms: -14 + 5 = -9 -9k = -9 Divide each side by '-9'. k = 1 Simplifying k = 1
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