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Simplifying -31 = k + -19 Reorder the terms: -31 = -19 + k Solving -31 = -19 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -31 + -1k = -19 + k + -1k Combine like terms: k + -1k = 0 -31 + -1k = -19 + 0 -31 + -1k = -19 Add '31' to each side of the equation. -31 + 31 + -1k = -19 + 31 Combine like terms: -31 + 31 = 0 0 + -1k = -19 + 31 -1k = -19 + 31 Combine like terms: -19 + 31 = 12 -1k = 12 Divide each side by '-1'. k = -12 Simplifying k = -12
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