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Simplifying -8.1 = 6k + 0.2 + -3.5 Reorder the terms: -8.1 = 0.2 + -3.5 + 6k Combine like terms: 0.2 + -3.5 = -3.3 -8.1 = -3.3 + 6k Solving -8.1 = -3.3 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -8.1 + -6k = -3.3 + 6k + -6k Combine like terms: 6k + -6k = 0 -8.1 + -6k = -3.3 + 0 -8.1 + -6k = -3.3 Add '8.1' to each side of the equation. -8.1 + 8.1 + -6k = -3.3 + 8.1 Combine like terms: -8.1 + 8.1 = 0.0 0.0 + -6k = -3.3 + 8.1 -6k = -3.3 + 8.1 Combine like terms: -3.3 + 8.1 = 4.8 -6k = 4.8 Divide each side by '-6'. k = -0.8 Simplifying k = -0.8
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