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Simplifying 3.2k + -5.65 = 2.9k + 3.5 Reorder the terms: -5.65 + 3.2k = 2.9k + 3.5 Reorder the terms: -5.65 + 3.2k = 3.5 + 2.9k Solving -5.65 + 3.2k = 3.5 + 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. -5.65 + 3.2k + -2.9k = 3.5 + 2.9k + -2.9k Combine like terms: 3.2k + -2.9k = 0.3k -5.65 + 0.3k = 3.5 + 2.9k + -2.9k Combine like terms: 2.9k + -2.9k = 0.0 -5.65 + 0.3k = 3.5 + 0.0 -5.65 + 0.3k = 3.5 Add '5.65' to each side of the equation. -5.65 + 5.65 + 0.3k = 3.5 + 5.65 Combine like terms: -5.65 + 5.65 = 0.00 0.00 + 0.3k = 3.5 + 5.65 0.3k = 3.5 + 5.65 Combine like terms: 3.5 + 5.65 = 9.15 0.3k = 9.15 Divide each side by '0.3'. k = 30.5 Simplifying k = 30.5
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