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Simplifying -6 = k + -4 + -5 Reorder the terms: -6 = -4 + -5 + k Combine like terms: -4 + -5 = -9 -6 = -9 + k Solving -6 = -9 + 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. -6 + -1k = -9 + k + -1k Combine like terms: k + -1k = 0 -6 + -1k = -9 + 0 -6 + -1k = -9 Add '6' to each side of the equation. -6 + 6 + -1k = -9 + 6 Combine like terms: -6 + 6 = 0 0 + -1k = -9 + 6 -1k = -9 + 6 Combine like terms: -9 + 6 = -3 -1k = -3 Divide each side by '-1'. k = 3 Simplifying k = 3
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