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Simplifying 5k + 4 = 9 + 2k + -6 Reorder the terms: 4 + 5k = 9 + 2k + -6 Reorder the terms: 4 + 5k = 9 + -6 + 2k Combine like terms: 9 + -6 = 3 4 + 5k = 3 + 2k Solving 4 + 5k = 3 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 4 + 5k + -2k = 3 + 2k + -2k Combine like terms: 5k + -2k = 3k 4 + 3k = 3 + 2k + -2k Combine like terms: 2k + -2k = 0 4 + 3k = 3 + 0 4 + 3k = 3 Add '-4' to each side of the equation. 4 + -4 + 3k = 3 + -4 Combine like terms: 4 + -4 = 0 0 + 3k = 3 + -4 3k = 3 + -4 Combine like terms: 3 + -4 = -1 3k = -1 Divide each side by '3'. k = -0.3333333333 Simplifying k = -0.3333333333
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