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Simplifying 2k + 2.5 = k + 13 Reorder the terms: 2.5 + 2k = k + 13 Reorder the terms: 2.5 + 2k = 13 + k Solving 2.5 + 2k = 13 + 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. 2.5 + 2k + -1k = 13 + k + -1k Combine like terms: 2k + -1k = 1k 2.5 + 1k = 13 + k + -1k Combine like terms: k + -1k = 0 2.5 + 1k = 13 + 0 2.5 + 1k = 13 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 1k = 13 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 1k = 13 + -2.5 1k = 13 + -2.5 Combine like terms: 13 + -2.5 = 10.5 1k = 10.5 Divide each side by '1'. k = 10.5 Simplifying k = 10.5
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