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Simplifying 2.5(4k + 2) = 12k Reorder the terms: 2.5(2 + 4k) = 12k (2 * 2.5 + 4k * 2.5) = 12k (5 + 10k) = 12k Solving 5 + 10k = 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. 5 + 10k + -12k = 12k + -12k Combine like terms: 10k + -12k = -2k 5 + -2k = 12k + -12k Combine like terms: 12k + -12k = 0 5 + -2k = 0 Add '-5' to each side of the equation. 5 + -5 + -2k = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2k = 0 + -5 -2k = 0 + -5 Combine like terms: 0 + -5 = -5 -2k = -5 Divide each side by '-2'. k = 2.5 Simplifying k = 2.5
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