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Simplifying -12 + 5k = 14 + -4k Solving -12 + 5k = 14 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -12 + 5k + 4k = 14 + -4k + 4k Combine like terms: 5k + 4k = 9k -12 + 9k = 14 + -4k + 4k Combine like terms: -4k + 4k = 0 -12 + 9k = 14 + 0 -12 + 9k = 14 Add '12' to each side of the equation. -12 + 12 + 9k = 14 + 12 Combine like terms: -12 + 12 = 0 0 + 9k = 14 + 12 9k = 14 + 12 Combine like terms: 14 + 12 = 26 9k = 26 Divide each side by '9'. k = 2.888888889 Simplifying k = 2.888888889
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