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Simplifying 14.5k + (5.4 + 4.5k) = 0 Remove parenthesis around (5.4 + 4.5k) 14.5k + 5.4 + 4.5k = 0 Reorder the terms: 5.4 + 14.5k + 4.5k = 0 Combine like terms: 14.5k + 4.5k = 19k 5.4 + 19k = 0 Solving 5.4 + 19k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5.4' to each side of the equation. 5.4 + -5.4 + 19k = 0 + -5.4 Combine like terms: 5.4 + -5.4 = 0.0 0.0 + 19k = 0 + -5.4 19k = 0 + -5.4 Combine like terms: 0 + -5.4 = -5.4 19k = -5.4 Divide each side by '19'. k = -0.2842105263 Simplifying k = -0.2842105263
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