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Simplifying -12 = k + -6 + 5k Reorder the terms: -12 = -6 + k + 5k Combine like terms: k + 5k = 6k -12 = -6 + 6k Solving -12 = -6 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -12 + -6k = -6 + 6k + -6k Combine like terms: 6k + -6k = 0 -12 + -6k = -6 + 0 -12 + -6k = -6 Add '12' to each side of the equation. -12 + 12 + -6k = -6 + 12 Combine like terms: -12 + 12 = 0 0 + -6k = -6 + 12 -6k = -6 + 12 Combine like terms: -6 + 12 = 6 -6k = 6 Divide each side by '-6'. k = -1 Simplifying k = -1
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