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Simplifying 9.5(1.2k + 5.6) = 19 Reorder the terms: 9.5(5.6 + 1.2k) = 19 (5.6 * 9.5 + 1.2k * 9.5) = 19 (53.2 + 11.4k) = 19 Solving 53.2 + 11.4k = 19 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-53.2' to each side of the equation. 53.2 + -53.2 + 11.4k = 19 + -53.2 Combine like terms: 53.2 + -53.2 = 0.0 0.0 + 11.4k = 19 + -53.2 11.4k = 19 + -53.2 Combine like terms: 19 + -53.2 = -34.2 11.4k = -34.2 Divide each side by '11.4'. k = -3 Simplifying k = -3
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