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Simplifying -5.2k + 2.9 = -12k + 30.1 Reorder the terms: 2.9 + -5.2k = -12k + 30.1 Reorder the terms: 2.9 + -5.2k = 30.1 + -12k Solving 2.9 + -5.2k = 30.1 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. 2.9 + -5.2k + 12k = 30.1 + -12k + 12k Combine like terms: -5.2k + 12k = 6.8k 2.9 + 6.8k = 30.1 + -12k + 12k Combine like terms: -12k + 12k = 0 2.9 + 6.8k = 30.1 + 0 2.9 + 6.8k = 30.1 Add '-2.9' to each side of the equation. 2.9 + -2.9 + 6.8k = 30.1 + -2.9 Combine like terms: 2.9 + -2.9 = 0.0 0.0 + 6.8k = 30.1 + -2.9 6.8k = 30.1 + -2.9 Combine like terms: 30.1 + -2.9 = 27.2 6.8k = 27.2 Divide each side by '6.8'. k = 4 Simplifying k = 4
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