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Simplifying 3.4k + (0.63 + -0.81k) + 0.9 = 5.7 Remove parenthesis around (0.63 + -0.81k) 3.4k + 0.63 + -0.81k + 0.9 = 5.7 Reorder the terms: 0.63 + 0.9 + 3.4k + -0.81k = 5.7 Combine like terms: 0.63 + 0.9 = 1.53 1.53 + 3.4k + -0.81k = 5.7 Combine like terms: 3.4k + -0.81k = 2.59k 1.53 + 2.59k = 5.7 Solving 1.53 + 2.59k = 5.7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.53' to each side of the equation. 1.53 + -1.53 + 2.59k = 5.7 + -1.53 Combine like terms: 1.53 + -1.53 = 0.00 0.00 + 2.59k = 5.7 + -1.53 2.59k = 5.7 + -1.53 Combine like terms: 5.7 + -1.53 = 4.17 2.59k = 4.17 Divide each side by '2.59'. k = 1.61003861 Simplifying k = 1.61003861
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