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Simplifying -15 = 5k + 12 + -2k + 6 Reorder the terms: -15 = 12 + 6 + 5k + -2k Combine like terms: 12 + 6 = 18 -15 = 18 + 5k + -2k Combine like terms: 5k + -2k = 3k -15 = 18 + 3k Solving -15 = 18 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -15 + -3k = 18 + 3k + -3k Combine like terms: 3k + -3k = 0 -15 + -3k = 18 + 0 -15 + -3k = 18 Add '15' to each side of the equation. -15 + 15 + -3k = 18 + 15 Combine like terms: -15 + 15 = 0 0 + -3k = 18 + 15 -3k = 18 + 15 Combine like terms: 18 + 15 = 33 -3k = 33 Divide each side by '-3'. k = -11 Simplifying k = -11
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