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Simplifying -6.21 + 7.8k = 8.6k + 4.57 Reorder the terms: -6.21 + 7.8k = 4.57 + 8.6k Solving -6.21 + 7.8k = 4.57 + 8.6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8.6k' to each side of the equation. -6.21 + 7.8k + -8.6k = 4.57 + 8.6k + -8.6k Combine like terms: 7.8k + -8.6k = -0.8k -6.21 + -0.8k = 4.57 + 8.6k + -8.6k Combine like terms: 8.6k + -8.6k = 0.0 -6.21 + -0.8k = 4.57 + 0.0 -6.21 + -0.8k = 4.57 Add '6.21' to each side of the equation. -6.21 + 6.21 + -0.8k = 4.57 + 6.21 Combine like terms: -6.21 + 6.21 = 0.00 0.00 + -0.8k = 4.57 + 6.21 -0.8k = 4.57 + 6.21 Combine like terms: 4.57 + 6.21 = 10.78 -0.8k = 10.78 Divide each side by '-0.8'. k = -13.475 Simplifying k = -13.475
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