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Simplifying 4.5 + 2.5k = 14.5 + 2k Solving 4.5 + 2.5k = 14.5 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. 4.5 + 2.5k + -2k = 14.5 + 2k + -2k Combine like terms: 2.5k + -2k = 0.5k 4.5 + 0.5k = 14.5 + 2k + -2k Combine like terms: 2k + -2k = 0 4.5 + 0.5k = 14.5 + 0 4.5 + 0.5k = 14.5 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.5k = 14.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.5k = 14.5 + -4.5 0.5k = 14.5 + -4.5 Combine like terms: 14.5 + -4.5 = 10 0.5k = 10 Divide each side by '0.5'. k = 20 Simplifying k = 20
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