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Simplifying 15 + 4k = 2 + -2k Solving 15 + 4k = 2 + -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. 15 + 4k + 2k = 2 + -2k + 2k Combine like terms: 4k + 2k = 6k 15 + 6k = 2 + -2k + 2k Combine like terms: -2k + 2k = 0 15 + 6k = 2 + 0 15 + 6k = 2 Add '-15' to each side of the equation. 15 + -15 + 6k = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 6k = 2 + -15 6k = 2 + -15 Combine like terms: 2 + -15 = -13 6k = -13 Divide each side by '6'. k = -2.166666667 Simplifying k = -2.166666667
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