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Simplifying 13 + 10k + 17 + -12k = 0 Reorder the terms: 13 + 17 + 10k + -12k = 0 Combine like terms: 13 + 17 = 30 30 + 10k + -12k = 0 Combine like terms: 10k + -12k = -2k 30 + -2k = 0 Solving 30 + -2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + -2k = 0 + -30 Combine like terms: 30 + -30 = 0 0 + -2k = 0 + -30 -2k = 0 + -30 Combine like terms: 0 + -30 = -30 -2k = -30 Divide each side by '-2'. k = 15 Simplifying k = 15
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