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Simplifying 0.96k + -11.18 = 0.41k + -14.7 Reorder the terms: -11.18 + 0.96k = 0.41k + -14.7 Reorder the terms: -11.18 + 0.96k = -14.7 + 0.41k Solving -11.18 + 0.96k = -14.7 + 0.41k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.41k' to each side of the equation. -11.18 + 0.96k + -0.41k = -14.7 + 0.41k + -0.41k Combine like terms: 0.96k + -0.41k = 0.55k -11.18 + 0.55k = -14.7 + 0.41k + -0.41k Combine like terms: 0.41k + -0.41k = 0.00 -11.18 + 0.55k = -14.7 + 0.00 -11.18 + 0.55k = -14.7 Add '11.18' to each side of the equation. -11.18 + 11.18 + 0.55k = -14.7 + 11.18 Combine like terms: -11.18 + 11.18 = 0.00 0.00 + 0.55k = -14.7 + 11.18 0.55k = -14.7 + 11.18 Combine like terms: -14.7 + 11.18 = -3.52 0.55k = -3.52 Divide each side by '0.55'. k = -6.4 Simplifying k = -6.4
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