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Simplifying 3.2k + -5.64 = 2.9k + 7.8 Reorder the terms: -5.64 + 3.2k = 2.9k + 7.8 Reorder the terms: -5.64 + 3.2k = 7.8 + 2.9k Solving -5.64 + 3.2k = 7.8 + 2.9k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2.9k' to each side of the equation. -5.64 + 3.2k + -2.9k = 7.8 + 2.9k + -2.9k Combine like terms: 3.2k + -2.9k = 0.3k -5.64 + 0.3k = 7.8 + 2.9k + -2.9k Combine like terms: 2.9k + -2.9k = 0.0 -5.64 + 0.3k = 7.8 + 0.0 -5.64 + 0.3k = 7.8 Add '5.64' to each side of the equation. -5.64 + 5.64 + 0.3k = 7.8 + 5.64 Combine like terms: -5.64 + 5.64 = 0.00 0.00 + 0.3k = 7.8 + 5.64 0.3k = 7.8 + 5.64 Combine like terms: 7.8 + 5.64 = 13.44 0.3k = 13.44 Divide each side by '0.3'. k = 44.8 Simplifying k = 44.8
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