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Simplifying 11.6 = 6k + 1.4 Reorder the terms: 11.6 = 1.4 + 6k Solving 11.6 = 1.4 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. 11.6 + -6k = 1.4 + 6k + -6k Combine like terms: 6k + -6k = 0 11.6 + -6k = 1.4 + 0 11.6 + -6k = 1.4 Add '-11.6' to each side of the equation. 11.6 + -11.6 + -6k = 1.4 + -11.6 Combine like terms: 11.6 + -11.6 = 0.0 0.0 + -6k = 1.4 + -11.6 -6k = 1.4 + -11.6 Combine like terms: 1.4 + -11.6 = -10.2 -6k = -10.2 Divide each side by '-6'. k = 1.7 Simplifying k = 1.7
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