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Simplifying k + 1.5 = 4 + 0.5k Reorder the terms: 1.5 + k = 4 + 0.5k Solving 1.5 + k = 4 + 0.5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-0.5k' to each side of the equation. 1.5 + k + -0.5k = 4 + 0.5k + -0.5k Combine like terms: k + -0.5k = 0.5k 1.5 + 0.5k = 4 + 0.5k + -0.5k Combine like terms: 0.5k + -0.5k = 0.0 1.5 + 0.5k = 4 + 0.0 1.5 + 0.5k = 4 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.5k = 4 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.5k = 4 + -1.5 0.5k = 4 + -1.5 Combine like terms: 4 + -1.5 = 2.5 0.5k = 2.5 Divide each side by '0.5'. k = 5 Simplifying k = 5
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