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Simplifying 2k = 1.5(7 + k) 2k = (7 * 1.5 + k * 1.5) 2k = (10.5 + 1.5k) Solving 2k = 10.5 + 1.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1.5k' to each side of the equation. 2k + -1.5k = 10.5 + 1.5k + -1.5k Combine like terms: 2k + -1.5k = 0.5k 0.5k = 10.5 + 1.5k + -1.5k Combine like terms: 1.5k + -1.5k = 0.0 0.5k = 10.5 + 0.0 0.5k = 10.5 Divide each side by '0.5'. k = 21 Simplifying k = 21
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