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Simplifying -19 = k + (-13) -19 = k + -13 Reorder the terms: -19 = -13 + k Solving -19 = -13 + 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. -19 + -1k = -13 + k + -1k Combine like terms: k + -1k = 0 -19 + -1k = -13 + 0 -19 + -1k = -13 Add '19' to each side of the equation. -19 + 19 + -1k = -13 + 19 Combine like terms: -19 + 19 = 0 0 + -1k = -13 + 19 -1k = -13 + 19 Combine like terms: -13 + 19 = 6 -1k = 6 Divide each side by '-1'. k = -6 Simplifying k = -6
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