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Simplifying -12k + -2k + -10k + k + 2 = 15 Reorder the terms: 2 + -12k + -2k + -10k + k = 15 Combine like terms: -12k + -2k = -14k 2 + -14k + -10k + k = 15 Combine like terms: -14k + -10k = -24k 2 + -24k + k = 15 Combine like terms: -24k + k = -23k 2 + -23k = 15 Solving 2 + -23k = 15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -23k = 15 + -2 Combine like terms: 2 + -2 = 0 0 + -23k = 15 + -2 -23k = 15 + -2 Combine like terms: 15 + -2 = 13 -23k = 13 Divide each side by '-23'. k = -0.5652173913 Simplifying k = -0.5652173913
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