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Simplifying 0.81k + -11.83 = 0.26k + -14.8 Reorder the terms: -11.83 + 0.81k = 0.26k + -14.8 Reorder the terms: -11.83 + 0.81k = -14.8 + 0.26k Solving -11.83 + 0.81k = -14.8 + 0.26k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.26k' to each side of the equation. -11.83 + 0.81k + -0.26k = -14.8 + 0.26k + -0.26k Combine like terms: 0.81k + -0.26k = 0.55k -11.83 + 0.55k = -14.8 + 0.26k + -0.26k Combine like terms: 0.26k + -0.26k = 0.00 -11.83 + 0.55k = -14.8 + 0.00 -11.83 + 0.55k = -14.8 Add '11.83' to each side of the equation. -11.83 + 11.83 + 0.55k = -14.8 + 11.83 Combine like terms: -11.83 + 11.83 = 0.00 0.00 + 0.55k = -14.8 + 11.83 0.55k = -14.8 + 11.83 Combine like terms: -14.8 + 11.83 = -2.97 0.55k = -2.97 Divide each side by '0.55'. k = -5.4 Simplifying k = -5.4
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