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Simplifying 3k + 2.9 = k + 7 Reorder the terms: 2.9 + 3k = k + 7 Reorder the terms: 2.9 + 3k = 7 + k Solving 2.9 + 3k = 7 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 2.9 + 3k + -1k = 7 + k + -1k Combine like terms: 3k + -1k = 2k 2.9 + 2k = 7 + k + -1k Combine like terms: k + -1k = 0 2.9 + 2k = 7 + 0 2.9 + 2k = 7 Add '-2.9' to each side of the equation. 2.9 + -2.9 + 2k = 7 + -2.9 Combine like terms: 2.9 + -2.9 = 0.0 0.0 + 2k = 7 + -2.9 2k = 7 + -2.9 Combine like terms: 7 + -2.9 = 4.1 2k = 4.1 Divide each side by '2'. k = 2.05 Simplifying k = 2.05
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