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Simplifying 15 = 19 + -3k + -32 Reorder the terms: 15 = 19 + -32 + -3k Combine like terms: 19 + -32 = -13 15 = -13 + -3k Solving 15 = -13 + -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 = -13 + -3k + 3k Combine like terms: -3k + 3k = 0 15 + 3k = -13 + 0 15 + 3k = -13 Add '-15' to each side of the equation. 15 + -15 + 3k = -13 + -15 Combine like terms: 15 + -15 = 0 0 + 3k = -13 + -15 3k = -13 + -15 Combine like terms: -13 + -15 = -28 3k = -28 Divide each side by '3'. k = -9.333333333 Simplifying k = -9.333333333
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