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Simplifying -8.1(1.8k + -3.4) = 0 Reorder the terms: -8.1(-3.4 + 1.8k) = 0 (-3.4 * -8.1 + 1.8k * -8.1) = 0 (27.54 + -14.58k) = 0 Solving 27.54 + -14.58k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27.54' to each side of the equation. 27.54 + -27.54 + -14.58k = 0 + -27.54 Combine like terms: 27.54 + -27.54 = 0.00 0.00 + -14.58k = 0 + -27.54 -14.58k = 0 + -27.54 Combine like terms: 0 + -27.54 = -27.54 -14.58k = -27.54 Divide each side by '-14.58'. k = 1.888888889 Simplifying k = 1.888888889
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