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Simplifying 3.4(k + 8) = 30.6 Reorder the terms: 3.4(8 + k) = 30.6 (8 * 3.4 + k * 3.4) = 30.6 (27.2 + 3.4k) = 30.6 Solving 27.2 + 3.4k = 30.6 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-27.2' to each side of the equation. 27.2 + -27.2 + 3.4k = 30.6 + -27.2 Combine like terms: 27.2 + -27.2 = 0.0 0.0 + 3.4k = 30.6 + -27.2 3.4k = 30.6 + -27.2 Combine like terms: 30.6 + -27.2 = 3.4 3.4k = 3.4 Divide each side by '3.4'. k = 1 Simplifying k = 1
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