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Simplifying 15 = -3k + 19 + -31 Reorder the terms: 15 = 19 + -31 + -3k Combine like terms: 19 + -31 = -12 15 = -12 + -3k Solving 15 = -12 + -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 = -12 + -3k + 3k Combine like terms: -3k + 3k = 0 15 + 3k = -12 + 0 15 + 3k = -12 Add '-15' to each side of the equation. 15 + -15 + 3k = -12 + -15 Combine like terms: 15 + -15 = 0 0 + 3k = -12 + -15 3k = -12 + -15 Combine like terms: -12 + -15 = -27 3k = -27 Divide each side by '3'. k = -9 Simplifying k = -9
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