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Simplifying 8.2 = 10k + -15.9 Reorder the terms: 8.2 = -15.9 + 10k Solving 8.2 = -15.9 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 8.2 + -10k = -15.9 + 10k + -10k Combine like terms: 10k + -10k = 0 8.2 + -10k = -15.9 + 0 8.2 + -10k = -15.9 Add '-8.2' to each side of the equation. 8.2 + -8.2 + -10k = -15.9 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + -10k = -15.9 + -8.2 -10k = -15.9 + -8.2 Combine like terms: -15.9 + -8.2 = -24.1 -10k = -24.1 Divide each side by '-10'. k = 2.41 Simplifying k = 2.41
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