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Simplifying 7.15 + 5.8k = 15.33 + 0.52 + 8.8k Combine like terms: 15.33 + 0.52 = 15.85 7.15 + 5.8k = 15.85 + 8.8k Solving 7.15 + 5.8k = 15.85 + 8.8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8.8k' to each side of the equation. 7.15 + 5.8k + -8.8k = 15.85 + 8.8k + -8.8k Combine like terms: 5.8k + -8.8k = -3k 7.15 + -3k = 15.85 + 8.8k + -8.8k Combine like terms: 8.8k + -8.8k = 0.0 7.15 + -3k = 15.85 + 0.0 7.15 + -3k = 15.85 Add '-7.15' to each side of the equation. 7.15 + -7.15 + -3k = 15.85 + -7.15 Combine like terms: 7.15 + -7.15 = 0.00 0.00 + -3k = 15.85 + -7.15 -3k = 15.85 + -7.15 Combine like terms: 15.85 + -7.15 = 8.7 -3k = 8.7 Divide each side by '-3'. k = -2.9 Simplifying k = -2.9
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