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Simplifying 15 + 5 + -6k + 4k = -4k + 4 Combine like terms: 15 + 5 = 20 20 + -6k + 4k = -4k + 4 Combine like terms: -6k + 4k = -2k 20 + -2k = -4k + 4 Reorder the terms: 20 + -2k = 4 + -4k Solving 20 + -2k = 4 + -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. 20 + -2k + 4k = 4 + -4k + 4k Combine like terms: -2k + 4k = 2k 20 + 2k = 4 + -4k + 4k Combine like terms: -4k + 4k = 0 20 + 2k = 4 + 0 20 + 2k = 4 Add '-20' to each side of the equation. 20 + -20 + 2k = 4 + -20 Combine like terms: 20 + -20 = 0 0 + 2k = 4 + -20 2k = 4 + -20 Combine like terms: 4 + -20 = -16 2k = -16 Divide each side by '2'. k = -8 Simplifying k = -8
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