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Simplifying -14 + -5k = k + 10 + -4k Reorder the terms: -14 + -5k = 10 + k + -4k Combine like terms: k + -4k = -3k -14 + -5k = 10 + -3k Solving -14 + -5k = 10 + -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. -14 + -5k + 3k = 10 + -3k + 3k Combine like terms: -5k + 3k = -2k -14 + -2k = 10 + -3k + 3k Combine like terms: -3k + 3k = 0 -14 + -2k = 10 + 0 -14 + -2k = 10 Add '14' to each side of the equation. -14 + 14 + -2k = 10 + 14 Combine like terms: -14 + 14 = 0 0 + -2k = 10 + 14 -2k = 10 + 14 Combine like terms: 10 + 14 = 24 -2k = 24 Divide each side by '-2'. k = -12 Simplifying k = -12
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