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Simplifying -1k + 2.8(5.4k + -6.8) = 150.4 Reorder the terms: -1k + 2.8(-6.8 + 5.4k) = 150.4 -1k + (-6.8 * 2.8 + 5.4k * 2.8) = 150.4 -1k + (-19.04 + 15.12k) = 150.4 Reorder the terms: -19.04 + -1k + 15.12k = 150.4 Combine like terms: -1k + 15.12k = 14.12k -19.04 + 14.12k = 150.4 Solving -19.04 + 14.12k = 150.4 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '19.04' to each side of the equation. -19.04 + 19.04 + 14.12k = 150.4 + 19.04 Combine like terms: -19.04 + 19.04 = 0.00 0.00 + 14.12k = 150.4 + 19.04 14.12k = 150.4 + 19.04 Combine like terms: 150.4 + 19.04 = 169.44 14.12k = 169.44 Divide each side by '14.12'. k = 12 Simplifying k = 12
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