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Simplifying k + -6 = 2k + -12 Reorder the terms: -6 + k = 2k + -12 Reorder the terms: -6 + k = -12 + 2k Solving -6 + k = -12 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -6 + k + -2k = -12 + 2k + -2k Combine like terms: k + -2k = -1k -6 + -1k = -12 + 2k + -2k Combine like terms: 2k + -2k = 0 -6 + -1k = -12 + 0 -6 + -1k = -12 Add '6' to each side of the equation. -6 + 6 + -1k = -12 + 6 Combine like terms: -6 + 6 = 0 0 + -1k = -12 + 6 -1k = -12 + 6 Combine like terms: -12 + 6 = -6 -1k = -6 Divide each side by '-1'. k = 6 Simplifying k = 6
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