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Simplifying 12 + -12k = 16 + 2k Solving 12 + -12k = 16 + 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. 12 + -12k + -2k = 16 + 2k + -2k Combine like terms: -12k + -2k = -14k 12 + -14k = 16 + 2k + -2k Combine like terms: 2k + -2k = 0 12 + -14k = 16 + 0 12 + -14k = 16 Add '-12' to each side of the equation. 12 + -12 + -14k = 16 + -12 Combine like terms: 12 + -12 = 0 0 + -14k = 16 + -12 -14k = 16 + -12 Combine like terms: 16 + -12 = 4 -14k = 4 Divide each side by '-14'. k = -0.2857142857 Simplifying k = -0.2857142857
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