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Simplifying 19.268 + -2.6k = 2.7(3.6 + 0.3k) 19.268 + -2.6k = (3.6 * 2.7 + 0.3k * 2.7) 19.268 + -2.6k = (9.72 + 0.81k) Solving 19.268 + -2.6k = 9.72 + 0.81k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.81k' to each side of the equation. 19.268 + -2.6k + -0.81k = 9.72 + 0.81k + -0.81k Combine like terms: -2.6k + -0.81k = -3.41k 19.268 + -3.41k = 9.72 + 0.81k + -0.81k Combine like terms: 0.81k + -0.81k = 0.00 19.268 + -3.41k = 9.72 + 0.00 19.268 + -3.41k = 9.72 Add '-19.268' to each side of the equation. 19.268 + -19.268 + -3.41k = 9.72 + -19.268 Combine like terms: 19.268 + -19.268 = 0.000 0.000 + -3.41k = 9.72 + -19.268 -3.41k = 9.72 + -19.268 Combine like terms: 9.72 + -19.268 = -9.548 -3.41k = -9.548 Divide each side by '-3.41'. k = 2.8 Simplifying k = 2.8
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