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Simplifying 12 + -4k + 5 + 19k = 0 Reorder the terms: 12 + 5 + -4k + 19k = 0 Combine like terms: 12 + 5 = 17 17 + -4k + 19k = 0 Combine like terms: -4k + 19k = 15k 17 + 15k = 0 Solving 17 + 15k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 15k = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 15k = 0 + -17 15k = 0 + -17 Combine like terms: 0 + -17 = -17 15k = -17 Divide each side by '15'. k = -1.133333333 Simplifying k = -1.133333333
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