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Simplifying 6 = 5k + -4 + -3k Reorder the terms: 6 = -4 + 5k + -3k Combine like terms: 5k + -3k = 2k 6 = -4 + 2k Solving 6 = -4 + 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. 6 + -2k = -4 + 2k + -2k Combine like terms: 2k + -2k = 0 6 + -2k = -4 + 0 6 + -2k = -4 Add '-6' to each side of the equation. 6 + -6 + -2k = -4 + -6 Combine like terms: 6 + -6 = 0 0 + -2k = -4 + -6 -2k = -4 + -6 Combine like terms: -4 + -6 = -10 -2k = -10 Divide each side by '-2'. k = 5 Simplifying k = 5
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