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Simplifying -1 = k + 12 + -3 Reorder the terms: -1 = 12 + -3 + k Combine like terms: 12 + -3 = 9 -1 = 9 + k Solving -1 = 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. -1 + -1k = 9 + k + -1k Combine like terms: k + -1k = 0 -1 + -1k = 9 + 0 -1 + -1k = 9 Add '1' to each side of the equation. -1 + 1 + -1k = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -1k = 9 + 1 -1k = 9 + 1 Combine like terms: 9 + 1 = 10 -1k = 10 Divide each side by '-1'. k = -10 Simplifying k = -10
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